Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10656o |
Isogeny class |
Conductor |
10656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
3.5542409638329E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43047165,-108705076936] |
[a1,a2,a3,a4,a6] |
Generators |
[-1025739507403694464402218082875925:-368931972895232323889145827091294:269861197965791867099991828125] |
Generators of the group modulo torsion |
j |
189081863882008469848000/7617971887502013 |
j-invariant |
L |
4.9465270163996 |
L(r)(E,1)/r! |
Ω |
0.058940588228881 |
Real period |
R |
41.961975313098 |
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 |
10656p1 21312ce2 3552b1 |
Quadratic twists by: -4 8 -3 |