Atkin-Lehner |
2- 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910bc |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-657027288000 = -1 · 26 · 37 · 53 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,67,38981] |
[a1,a2,a3,a4,a6] |
Generators |
[3:196:1] |
Generators of the group modulo torsion |
j |
46268279/901272000 |
j-invariant |
L |
8.464997845967 |
L(r)(E,1)/r! |
Ω |
0.71802128489327 |
Real period |
R |
1.9648901832025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970i1 |
Quadratic twists by: -3 |