Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440v |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24935040000 = 210 · 34 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10336,400964] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-48:1] [-88:798:1] |
Generators of the group modulo torsion |
j |
119267818134916/24350625 |
j-invariant |
L |
11.764091034185 |
L(r)(E,1)/r! |
Ω |
1.1608383797053 |
Real period |
R |
1.2667666789611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720c4 |
Quadratic twists by: -4 |