Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30276q |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-853419888 = -1 · 24 · 37 · 293 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -3 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2001,34481] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:261:1] [25:-9:1] |
Generators of the group modulo torsion |
j |
-3114752/3 |
j-invariant |
L |
7.0874019442889 |
L(r)(E,1)/r! |
Ω |
1.5738038938075 |
Real period |
R |
0.37527981155379 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104cv1 10092d1 30276p1 |
Quadratic twists by: -4 -3 29 |