Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113100b |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15117565788000000 = 28 · 33 · 56 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122708,-15410088] |
[a1,a2,a3,a4,a6] |
j |
51084117250000/3779391447 |
j-invariant |
L |
1.025100204281 |
L(r)(E,1)/r! |
Ω |
0.25627492050794 |
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 |
4524e2 |
Quadratic twists by: 5 |