Atkin-Lehner |
2+ 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710m |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-424256250 = -1 · 2 · 3 · 55 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-552,4866] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-36:1] |
Generators of the group modulo torsion |
j |
-14014952531/318750 |
j-invariant |
L |
3.5604249472361 |
L(r)(E,1)/r! |
Ω |
1.6759186254187 |
Real period |
R |
0.21244617089966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710bv1 |
Quadratic twists by: -11 |