Atkin-Lehner |
2+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970k |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
30553445300 = 22 · 52 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -5 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4337,-111439] |
[a1,a2,a3,a4,a6] |
j |
1565539801/5300 |
j-invariant |
L |
2.3536265703908 |
L(r)(E,1)/r! |
Ω |
0.5884066425977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850bs1 25970d1 |
Quadratic twists by: 5 -7 |