Atkin-Lehner |
2- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31240g |
Isogeny class |
Conductor |
31240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-5415136718750000 = -1 · 24 · 514 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7558,-3549507] |
[a1,a2,a3,a4,a6] |
Generators |
[63854:419427:343] |
Generators of the group modulo torsion |
j |
-2984175717894144/338446044921875 |
j-invariant |
L |
3.5122972436538 |
L(r)(E,1)/r! |
Ω |
0.19015584633254 |
Real period |
R |
9.2353122751523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62480b1 |
Quadratic twists by: -4 |