Atkin-Lehner |
2+ 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10626c |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-6.0502362714028E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- -3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,591434,331007572] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:16190:1] |
Generators of the group modulo torsion |
j |
22879231194490519393943/60502362714028376064 |
j-invariant |
L |
3.7383420265454 |
L(r)(E,1)/r! |
Ω |
0.13821771619552 |
Real period |
R |
4.5077940916263 |
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 |
85008bz1 31878bn1 74382p1 116886z1 |
Quadratic twists by: -4 -3 -7 -11 |