Atkin-Lehner |
2+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120i |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
595358720 = 210 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-461,3475] |
[a1,a2,a3,a4,a6] |
Generators |
[6:31:1] |
Generators of the group modulo torsion |
j |
10603964416/581405 |
j-invariant |
L |
3.3904107238138 |
L(r)(E,1)/r! |
Ω |
1.6071148616524 |
Real period |
R |
1.0548128293549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999267872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120v1 13640h1 |
Quadratic twists by: -4 8 |