Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10030j |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-3710297600 = -1 · 29 · 52 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 0 -7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,289,-2215] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
2668844775311/3710297600 |
j-invariant |
L |
7.3818108395661 |
L(r)(E,1)/r! |
Ω |
0.74442767635063 |
Real period |
R |
1.6526814433144 |
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 |
80240o1 90270j1 50150d1 |
Quadratic twists by: -4 -3 5 |