Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192n |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-30050942976 = -1 · 216 · 36 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 1 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200,-8336] |
[a1,a2,a3,a4,a6] |
Generators |
[25:108:1] |
Generators of the group modulo torsion |
j |
214921799/7336656 |
j-invariant |
L |
4.6004316681759 |
L(r)(E,1)/r! |
Ω |
0.56629789556712 |
Real period |
R |
2.0309238760144 |
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 |
3774i1 120768ds1 90576y1 |
Quadratic twists by: -4 8 -3 |