Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
76700b |
Isogeny class |
Conductor |
76700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1239552 |
Modular degree for the optimal curve |
Δ |
432604934401250000 = 24 · 57 · 134 · 594 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1161033,-480092938] |
[a1,a2,a3,a4,a6] |
j |
692337362177081344/1730419737605 |
j-invariant |
L |
2.6183405179884 |
L(r)(E,1)/r! |
Ω |
0.1454633597021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15340b1 |
Quadratic twists by: 5 |