Atkin-Lehner |
2+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62234g |
Isogeny class |
Conductor |
62234 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
243360 |
Modular degree for the optimal curve |
Δ |
7932048908288 = 213 · 294 · 372 |
Discriminant |
Eigenvalues |
2+ -2 2 -3 6 -4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5905,109668] |
[a1,a2,a3,a4,a6] |
Generators |
[66:59:1] |
Generators of the group modulo torsion |
j |
32187385273/11214848 |
j-invariant |
L |
3.5518896374447 |
L(r)(E,1)/r! |
Ω |
0.67869429209468 |
Real period |
R |
2.6167080511103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62234i1 |
Quadratic twists by: 29 |