Atkin-Lehner |
2- 3+ 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bm |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-393086940468750000 = -1 · 24 · 32 · 510 · 11 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,145562,21344531] |
[a1,a2,a3,a4,a6] |
Generators |
[25:4987:1] |
Generators of the group modulo torsion |
j |
21829688669019239/25157564190000 |
j-invariant |
L |
7.2699482850001 |
L(r)(E,1)/r! |
Ω |
0.200114230945 |
Real period |
R |
2.2705620003478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430e3 |
Quadratic twists by: 5 |