Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320c |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-81877539594336000 = -1 · 28 · 3 · 53 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80404,-10634604] |
[a1,a2,a3,a4,a6] |
j |
253012016/360375 |
j-invariant |
L |
1.4531226481302 |
L(r)(E,1)/r! |
Ω |
0.18164037669035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3720d1 |
Quadratic twists by: -31 |