Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400cg |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3212265600000000 = 213 · 310 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62408,-5324688] |
[a1,a2,a3,a4,a6] |
Generators |
[297:1500:1] |
Generators of the group modulo torsion |
j |
420021471169/50191650 |
j-invariant |
L |
4.4646747271379 |
L(r)(E,1)/r! |
Ω |
0.30441728704637 |
Real period |
R |
3.6665745648487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2550m2 81600it2 61200ew2 4080z2 |
Quadratic twists by: -4 8 -3 5 |