Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425k |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1620000 |
Modular degree for the optimal curve |
Δ |
-934965538310546875 = -1 · 510 · 117 · 173 |
Discriminant |
Eigenvalues |
-2 0 5+ 0 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8545625,9615435156] |
[a1,a2,a3,a4,a6] |
j |
-3989321625600/54043 |
j-invariant |
L |
0.50921649373603 |
L(r)(E,1)/r! |
Ω |
0.25460824693371 |
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 |
51425bl1 4675j1 |
Quadratic twists by: 5 -11 |