Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150bg |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
10940876800000000 = 217 · 58 · 74 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -4 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99638,-11051469] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:807:1] |
Generators of the group modulo torsion |
j |
280052177867905/28008644608 |
j-invariant |
L |
6.0091287436191 |
L(r)(E,1)/r! |
Ω |
0.27044694476061 |
Real period |
R |
0.10891790060778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31150b1 |
Quadratic twists by: 5 |