Atkin-Lehner |
5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11515f |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10416 |
Modular degree for the optimal curve |
Δ |
-63672227045 = -1 · 5 · 78 · 472 |
Discriminant |
Eigenvalues |
-1 1 5- 7+ -4 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,12137] |
[a1,a2,a3,a4,a6] |
j |
-2401/11045 |
j-invariant |
L |
1.771922428483 |
L(r)(E,1)/r! |
Ω |
0.88596121424152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103635i1 57575c1 11515e1 |
Quadratic twists by: -3 5 -7 |