Atkin-Lehner |
2- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7828b |
Isogeny class |
Conductor |
7828 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1104 |
Modular degree for the optimal curve |
Δ |
31312 = 24 · 19 · 103 |
Discriminant |
Eigenvalues |
2- -3 0 -3 -6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,97] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] [2:5:1] |
Generators of the group modulo torsion |
j |
442368000/1957 |
j-invariant |
L |
3.4585555134877 |
L(r)(E,1)/r! |
Ω |
3.7248921364825 |
Real period |
R |
0.30949938832823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31312t1 125248r1 70452e1 |
Quadratic twists by: -4 8 -3 |