Atkin-Lehner |
2+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
56560b |
Isogeny class |
Conductor |
56560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-4615748480000 = -1 · 210 · 54 · 7 · 1013 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13896,-634304] |
[a1,a2,a3,a4,a6] |
j |
-289817379063076/4507566875 |
j-invariant |
L |
1.7572483489382 |
L(r)(E,1)/r! |
Ω |
0.21965604362938 |
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 |
28280d1 |
Quadratic twists by: -4 |