Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bh |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
493277205382041600 = 212 · 36 · 52 · 136 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1582296,765871920] |
[a1,a2,a3,a4,a6] |
j |
106961437073464993369/120429005220225 |
j-invariant |
L |
1.1737712217593 |
L(r)(E,1)/r! |
Ω |
0.2934427486702 |
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 |
7215f2 |
Quadratic twists by: -4 |