Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
23700g |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
37031250000 = 24 · 3 · 510 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11998333,-15992667338] |
[a1,a2,a3,a4,a6] |
Generators |
[-2816724544088990:53057040921:1408694561000] |
Generators of the group modulo torsion |
j |
1222549509239603200/237 |
j-invariant |
L |
4.7916658049436 |
L(r)(E,1)/r! |
Ω |
0.081118390276957 |
Real period |
R |
19.690010237234 |
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 |
94800ct2 71100t2 23700t2 |
Quadratic twists by: -4 -3 5 |