Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600dg |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-46118408000000000 = -1 · 212 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4078427208,-100252007070412] |
[a1,a2,a3,a4,a6] |
Generators |
[450719126720791190776308886489985301621406420423223224102834554737202330102307388322145528790838683012:-174269584212283143023792073659452662049863416424717370847374107478455734969365663590396181320974210426750:2562089016583017268431996395045593599526501648178393070664058858733691359578005081799983181872139] |
Generators of the group modulo torsion |
j |
-162677523113838677 |
j-invariant |
L |
5.9378634124386 |
L(r)(E,1)/r! |
Ω |
0.0094459660461144 |
Real period |
R |
157.15341828063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1225e2 78400jn2 19600dh2 19600dv2 |
Quadratic twists by: -4 8 5 -7 |