Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622x |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2472960 |
Modular degree for the optimal curve |
Δ |
35372604867026364 = 22 · 326 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16997409,26976810321] |
[a1,a2,a3,a4,a6] |
j |
15203665023316217484001/990246769884 |
j-invariant |
L |
1.1102277850688 |
L(r)(E,1)/r! |
Ω |
0.27755694558915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874bg1 62622l1 |
Quadratic twists by: -3 -7 |