Atkin-Lehner |
2+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810f |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3525120 |
Modular degree for the optimal curve |
Δ |
-3.3194745660369E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2750564,-1962704654] |
[a1,a2,a3,a4,a6] |
Generators |
[283054911869992:7349386931663451:124027532803] |
Generators of the group modulo torsion |
j |
-329911441810489/47585865680 |
j-invariant |
L |
3.7894137039505 |
L(r)(E,1)/r! |
Ω |
0.058151136094883 |
Real period |
R |
16.291228161766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
83810i1 |
Quadratic twists by: 17 |