Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915h |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-109842075 = -1 · 37 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -5 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,504] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:17:1] [-1:22:1] |
Generators of the group modulo torsion |
j |
-4096/150675 |
j-invariant |
L |
3.2464180502606 |
L(r)(E,1)/r! |
Ω |
1.4982632924613 |
Real period |
R |
0.13542421359599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4305k1 64575bg1 90405cb1 |
Quadratic twists by: -3 5 -7 |