Atkin-Lehner |
3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575c |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
7912265625 = 33 · 57 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2088,-37344] |
[a1,a2,a3,a4,a6] |
j |
64432972729/506385 |
j-invariant |
L |
1.4131935926151 |
L(r)(E,1)/r! |
Ω |
0.70659679630757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725w1 5115g1 |
Quadratic twists by: -3 5 |