Atkin-Lehner |
2- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62234k |
Isogeny class |
Conductor |
62234 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
826200 |
Modular degree for the optimal curve |
Δ |
-129958689313390592 = -1 · 227 · 294 · 372 |
Discriminant |
Eigenvalues |
2- -1 2 2 3 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-453737,118722519] |
[a1,a2,a3,a4,a6] |
Generators |
[399:984:1] |
Generators of the group modulo torsion |
j |
-14606439566198593/183744069632 |
j-invariant |
L |
10.66410509397 |
L(r)(E,1)/r! |
Ω |
0.33036327265518 |
Real period |
R |
0.5977765811515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62234c1 |
Quadratic twists by: 29 |