Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710bd |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
452700140092784640 = 232 · 311 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-223718,-24660363] |
[a1,a2,a3,a4,a6] |
j |
1698623579042432281/620987846492160 |
j-invariant |
L |
3.6198863695183 |
L(r)(E,1)/r! |
Ω |
0.22624289809489 |
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 |
85680dr1 3570i1 53550bh1 74970dy1 |
Quadratic twists by: -4 -3 5 -7 |