Atkin-Lehner |
3+ 5- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15405d |
Isogeny class |
Conductor |
15405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-33690735 = -1 · 38 · 5 · 13 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,80,80] |
[a1,a2,a3,a4,a6] |
Generators |
[120:560:27] |
Generators of the group modulo torsion |
j |
56578878719/33690735 |
j-invariant |
L |
2.9633320609277 |
L(r)(E,1)/r! |
Ω |
1.2650713045847 |
Real period |
R |
4.6848459058213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46215f1 77025g1 |
Quadratic twists by: -3 5 |