Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bk |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
25529833000000000 = 29 · 59 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 1 -5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-345067,-77553659] |
[a1,a2,a3,a4,a6] |
Generators |
[-341:783:1] |
Generators of the group modulo torsion |
j |
2471874619761/13888000 |
j-invariant |
L |
1.9684355130085 |
L(r)(E,1)/r! |
Ω |
0.19704733463085 |
Real period |
R |
1.2487072664866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190ba1 10850l1 |
Quadratic twists by: 5 -7 |