Atkin-Lehner |
3+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15045b |
Isogeny class |
Conductor |
15045 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
13314825 = 32 · 52 · 17 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] [-2:8:1] |
Generators of the group modulo torsion |
j |
23912763841/13314825 |
j-invariant |
L |
4.041346226746 |
L(r)(E,1)/r! |
Ω |
1.8401083227434 |
Real period |
R |
1.0981272615297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45135k1 75225r1 |
Quadratic twists by: -3 5 |