Atkin-Lehner |
2+ 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650c |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-1450240000000000 = -1 · 217 · 510 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 11+ -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20125,2128125] |
[a1,a2,a3,a4,a6] |
j |
-57695915808721/92815360000 |
j-invariant |
L |
1.71701258421 |
L(r)(E,1)/r! |
Ω |
0.42925314531438 |
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 |
11330j1 |
Quadratic twists by: 5 |