Atkin-Lehner |
2- 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110t |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
4717440 |
Modular degree for the optimal curve |
Δ |
4.9065954004852E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-324436856,-2246888303431] |
[a1,a2,a3,a4,a6] |
Generators |
[28683:3456427:1] |
Generators of the group modulo torsion |
j |
3776715448109436347084050051969/4906595400485210947584000 |
j-invariant |
L |
5.3165679379936 |
L(r)(E,1)/r! |
Ω |
0.035575489941279 |
Real period |
R |
2.2991490216218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880cq1 39330t1 65550t1 |
Quadratic twists by: -4 -3 5 |