Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bg |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-78677266153472 = -1 · 214 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ -3 4 7- -1 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67228,6722800] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1000:1] |
Generators of the group modulo torsion |
j |
-7260624/17 |
j-invariant |
L |
5.1091700899113 |
L(r)(E,1)/r! |
Ω |
0.61177829113317 |
Real period |
R |
4.1756712880267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312cm1 3332f1 53312h1 |
Quadratic twists by: -4 8 -7 |