Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41140h |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-256544708780800 = -1 · 28 · 52 · 119 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31621,-2307945] |
[a1,a2,a3,a4,a6] |
Generators |
[362:5815:1] [546:11979:1] |
Generators of the group modulo torsion |
j |
-7710244864/565675 |
j-invariant |
L |
6.6838270240896 |
L(r)(E,1)/r! |
Ω |
0.17825667730018 |
Real period |
R |
4.6869401509385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3740b1 |
Quadratic twists by: -11 |