Atkin-Lehner |
3+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675d |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
205824 |
Modular degree for the optimal curve |
Δ |
-312537020859375 = -1 · 3 · 57 · 132 · 534 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22088,-1532344] |
[a1,a2,a3,a4,a6] |
j |
-76273573823929/20002369335 |
j-invariant |
L |
0.38631505511657 |
L(r)(E,1)/r! |
Ω |
0.19315752692883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10335f1 |
Quadratic twists by: 5 |