Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123627w |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
955468800 |
Modular degree for the optimal curve |
Δ |
1.0101376194866E+33 |
Discriminant |
Eigenvalues |
1 3- 3 7- -6 6 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44917687232,-3329834430577147] |
[a1,a2,a3,a4,a6] |
j |
170295687079857398473/17163597526568829 |
j-invariant |
L |
5.7407678786079 |
L(r)(E,1)/r! |
Ω |
0.010437757320814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17661c1 123627j1 |
Quadratic twists by: -7 29 |