Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bf |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
191900067840000 = 214 · 34 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31656,2073456] |
[a1,a2,a3,a4,a6] |
j |
856535948855209/46850602500 |
j-invariant |
L |
2.2341020154878 |
L(r)(E,1)/r! |
Ω |
0.55852549817217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430p2 |
Quadratic twists by: -4 |