Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15040r |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
985661440 = 222 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 5 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,6815] |
[a1,a2,a3,a4,a6] |
Generators |
[13:4:1] |
Generators of the group modulo torsion |
j |
148035889/3760 |
j-invariant |
L |
5.823031893923 |
L(r)(E,1)/r! |
Ω |
1.5596342448574 |
Real period |
R |
1.8667940618525 |
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 |
15040bh1 470e1 75200i1 |
Quadratic twists by: -4 8 5 |