Atkin-Lehner |
2+ 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056c |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-7391808617472 = -1 · 210 · 312 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10875,-455686] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1008:1] [155:1258:1] |
Generators of the group modulo torsion |
j |
-190539062500/9902007 |
j-invariant |
L |
11.750138524662 |
L(r)(E,1)/r! |
Ω |
0.23305076517972 |
Real period |
R |
6.3023492514224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57528d1 38352c1 |
Quadratic twists by: -4 -3 |