Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656i |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-83395136 = -1 · 26 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 1 -3 0 11- -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-272,1694] |
[a1,a2,a3,a4,a6] |
Generators |
[5:22:1] |
Generators of the group modulo torsion |
j |
-34901664832/1303049 |
j-invariant |
L |
5.1181259779445 |
L(r)(E,1)/r! |
Ω |
1.9079210565159 |
Real period |
R |
0.67064173861141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62656b1 31328g1 |
Quadratic twists by: -4 8 |