Atkin-Lehner |
7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30821h |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-431501119651 = -1 · 79 · 172 · 37 |
Discriminant |
Eigenvalues |
2 0 -3 7- 1 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2009,46905] |
[a1,a2,a3,a4,a6] |
Generators |
[434:2495:8] |
Generators of the group modulo torsion |
j |
-7622111232/3667699 |
j-invariant |
L |
7.7759614129294 |
L(r)(E,1)/r! |
Ω |
0.87875078791003 |
Real period |
R |
2.2122203245539 |
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 |
4403d1 |
Quadratic twists by: -7 |