Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710cw |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-59471727944640 = -1 · 26 · 3 · 5 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,-371260] |
[a1,a2,a3,a4,a6] |
Generators |
[676624:11407642:2197] |
Generators of the group modulo torsion |
j |
-47045881/33570240 |
j-invariant |
L |
12.966241431284 |
L(r)(E,1)/r! |
Ω |
0.281325541231 |
Real period |
R |
7.6816354074944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610v1 |
Quadratic twists by: -11 |