Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050w |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-9406250 = -1 · 2 · 56 · 7 · 43 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30,-153] |
[a1,a2,a3,a4,a6] |
Generators |
[62:15:8] |
Generators of the group modulo torsion |
j |
-185193/602 |
j-invariant |
L |
4.183778170165 |
L(r)(E,1)/r! |
Ω |
0.94200499579023 |
Real period |
R |
2.2206772728712 |
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 |
120400bh1 602c1 105350cl1 |
Quadratic twists by: -4 5 -7 |