Atkin-Lehner |
2- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7790j |
Isogeny class |
Conductor |
7790 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
101910450176000000 = 218 · 56 · 192 · 413 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-497010,-134027900] |
[a1,a2,a3,a4,a6] |
Generators |
[-430:690:1] |
Generators of the group modulo torsion |
j |
13577479246480203332641/101910450176000000 |
j-invariant |
L |
4.1480699002604 |
L(r)(E,1)/r! |
Ω |
0.17988907521827 |
Real period |
R |
1.2810579381357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
62320bb1 70110q1 38950k1 |
Quadratic twists by: -4 -3 5 |