Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bp |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
1148215824000000 = 210 · 36 · 56 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-463842,-121464684] |
[a1,a2,a3,a4,a6] |
j |
968917714969177/100803584 |
j-invariant |
L |
2.9270463243026 |
L(r)(E,1)/r! |
Ω |
0.18294043367677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350s1 5166bc1 |
Quadratic twists by: -3 5 |