Atkin-Lehner |
2+ 3- 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150s |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4428316860000000 = 28 · 3 · 57 · 114 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-507526,139087448] |
[a1,a2,a3,a4,a6] |
j |
925288879740640849/283412279040 |
j-invariant |
L |
3.4158637655658 |
L(r)(E,1)/r! |
Ω |
0.42698303407201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430f2 |
Quadratic twists by: 5 |