Atkin-Lehner |
3+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118575c |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
801792 |
Modular degree for the optimal curve |
Δ |
-810386015625 = -1 · 39 · 57 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 -5 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-476255,126623872] |
[a1,a2,a3,a4,a6] |
Generators |
[-496:15760:1] [379:485:1] |
Generators of the group modulo torsion |
j |
-38844557925363/2635 |
j-invariant |
L |
8.3674637283844 |
L(r)(E,1)/r! |
Ω |
0.67722747368294 |
Real period |
R |
3.0888674977348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118575f1 23715b1 |
Quadratic twists by: -3 5 |