Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040n |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
96256000 = 214 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 -5 -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412,3184] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:40:1] [4:40:1] |
Generators of the group modulo torsion |
j |
472058064/5875 |
j-invariant |
L |
4.2085290149316 |
L(r)(E,1)/r! |
Ω |
1.9046571400251 |
Real period |
R |
0.18413327200698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15040bm1 940b1 75200ba1 |
Quadratic twists by: -4 8 5 |