Atkin-Lehner |
5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74725a |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-99711171875 = -1 · 57 · 73 · 612 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -1 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,467,14844] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:30:1] [-12:87:1] |
Generators of the group modulo torsion |
j |
2097152/18605 |
j-invariant |
L |
10.062625566579 |
L(r)(E,1)/r! |
Ω |
0.77935188526652 |
Real period |
R |
0.80697065060538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14945a1 74725k1 |
Quadratic twists by: 5 -7 |