Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1330j |
Isogeny class |
Conductor |
1330 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-26693632000 = -1 · 215 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1635,26497] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:233:1] |
Generators of the group modulo torsion |
j |
-483385461758641/26693632000 |
j-invariant |
L |
2.970434255785 |
L(r)(E,1)/r! |
Ω |
1.1725004482281 |
Real period |
R |
0.1688945626289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10640v1 42560q1 11970u1 6650d1 |
Quadratic twists by: -4 8 -3 5 |