Atkin-Lehner |
2+ 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25530b |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1089792 |
Modular degree for the optimal curve |
Δ |
-4.9833232639453E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 6 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,621867,282618837] |
[a1,a2,a3,a4,a6] |
j |
26595928355372445132071/49833232639453125000 |
j-invariant |
L |
1.1040352803812 |
L(r)(E,1)/r! |
Ω |
0.13800441004766 |
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 |
76590ce1 127650da1 |
Quadratic twists by: -3 5 |