Atkin-Lehner |
3+ 5+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825f |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-445869140625 = -1 · 33 · 510 · 19 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 3 -3 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,687,31656] |
[a1,a2,a3,a4,a6] |
Generators |
[90:867:1] |
Generators of the group modulo torsion |
j |
2294744759/28535625 |
j-invariant |
L |
4.3544973912844 |
L(r)(E,1)/r! |
Ω |
0.69413417548357 |
Real period |
R |
3.1366394890218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25365i1 |
Quadratic twists by: 5 |