Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23275s |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-52412399716796875 = -1 · 510 · 710 · 19 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 1 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-120050,-19433094] |
[a1,a2,a3,a4,a6] |
Generators |
[428310:7743698:729] |
Generators of the group modulo torsion |
j |
-43352064/11875 |
j-invariant |
L |
3.972937321442 |
L(r)(E,1)/r! |
Ω |
0.1264390121878 |
Real period |
R |
7.8554420283292 |
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 |
4655r1 23275a1 |
Quadratic twists by: 5 -7 |