Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622r |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
166320 |
Modular degree for the optimal curve |
Δ |
3117770030592 = 29 · 36 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5154,115604] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:348:1] |
Generators of the group modulo torsion |
j |
176558481/36352 |
j-invariant |
L |
3.2664171425113 |
L(r)(E,1)/r! |
Ω |
0.75597934990992 |
Real period |
R |
4.3207756174428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958p1 1278d1 |
Quadratic twists by: -3 -7 |