Atkin-Lehner |
2- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102602c |
Isogeny class |
Conductor |
102602 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
16835879277584 = 24 · 297 · 61 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32116,2214471] |
[a1,a2,a3,a4,a6] |
Generators |
[-810:17221:8] |
Generators of the group modulo torsion |
j |
6158676537/28304 |
j-invariant |
L |
2.4318251426344 |
L(r)(E,1)/r! |
Ω |
0.69759638900562 |
Real period |
R |
3.486005932043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999687024 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3538a1 |
Quadratic twists by: 29 |