Atkin-Lehner |
3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725p |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
27450140625 = 34 · 56 · 232 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1538,-21933] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:49:1] |
Generators of the group modulo torsion |
j |
25750777177/1756809 |
j-invariant |
L |
4.7882746251078 |
L(r)(E,1)/r! |
Ω |
0.76562996530838 |
Real period |
R |
0.78175405268688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829d1 |
Quadratic twists by: 5 |