Atkin-Lehner |
5- 31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
51925f |
Isogeny class |
Conductor |
51925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86328 |
Modular degree for the optimal curve |
Δ |
-180645776875 = -1 · 54 · 312 · 673 |
Discriminant |
Eigenvalues |
-2 2 5- 4 2 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,442,-20282] |
[a1,a2,a3,a4,a6] |
j |
15245004800/289033243 |
j-invariant |
L |
2.9568543084666 |
L(r)(E,1)/r! |
Ω |
0.49280905159651 |
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 |
51925c1 |
Quadratic twists by: 5 |