Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304bh |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-3.8352397057987E+19 |
Discriminant |
Eigenvalues |
2- -3 0 7- -6 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97700,297725608] |
[a1,a2,a3,a4,a6] |
Generators |
[8781:823543:1] |
Generators of the group modulo torsion |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
2.3032308206576 |
L(r)(E,1)/r! |
Ω |
0.15911504183209 |
Real period |
R |
0.80418083885083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10304f1 2576f1 92736fk1 72128br1 |
Quadratic twists by: -4 8 -3 -7 |