Atkin-Lehner |
2+ 7- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386g |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
809760 |
Modular degree for the optimal curve |
Δ |
-29785419586843648 = -1 · 210 · 710 · 13 · 892 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,8303390] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2880:1] |
Generators of the group modulo torsion |
j |
-765625/105444352 |
j-invariant |
L |
2.1472749796698 |
L(r)(E,1)/r! |
Ω |
0.29653171134703 |
Real period |
R |
1.8103249603366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997454375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113386a1 |
Quadratic twists by: -7 |