Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192v |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
16297891048208 = 24 · 72 · 114 · 175 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8268,-211759] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:231:1] |
Generators of the group modulo torsion |
j |
266862112000/69572993 |
j-invariant |
L |
8.8999476311963 |
L(r)(E,1)/r! |
Ω |
0.51034083698004 |
Real period |
R |
1.4532685774276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192q1 |
Quadratic twists by: -11 |