Atkin-Lehner |
31- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75919a |
Isogeny class |
Conductor |
75919 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
70112790799 = 316 · 79 |
Discriminant |
Eigenvalues |
-1 1 -3 -1 2 -3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1942,-30539] |
[a1,a2,a3,a4,a6] |
Generators |
[-537:749:27] |
Generators of the group modulo torsion |
j |
912673/79 |
j-invariant |
L |
3.0604791302332 |
L(r)(E,1)/r! |
Ω |
0.72314682830936 |
Real period |
R |
2.1160841839514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79a1 |
Quadratic twists by: -31 |