Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23275x |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-52412399716796875 = -1 · 510 · 710 · 19 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- -3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20008,11075168] |
[a1,a2,a3,a4,a6] |
Generators |
[252:4687:1] |
Generators of the group modulo torsion |
j |
-200704/11875 |
j-invariant |
L |
3.3435998130408 |
L(r)(E,1)/r! |
Ω |
0.29364886845221 |
Real period |
R |
2.846596881732 |
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 |
4655s1 23275b1 |
Quadratic twists by: 5 -7 |