Atkin-Lehner |
2- 3- 13- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
102258bc |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
21056612071532544 = 211 · 36 · 132 · 193 · 233 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 3 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4625069,-3827308651] |
[a1,a2,a3,a4,a6] |
Generators |
[-1241:696:1] |
Generators of the group modulo torsion |
j |
15008964986671598124937/28884241524736 |
j-invariant |
L |
7.5869429652544 |
L(r)(E,1)/r! |
Ω |
0.10294850828346 |
Real period |
R |
1.1166133778909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999746428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362g1 |
Quadratic twists by: -3 |