Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192n |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
7907328 |
Modular degree for the optimal curve |
Δ |
-4.5553293194865E+22 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8678564,-2931520352] |
[a1,a2,a3,a4,a6] |
j |
1317303443364656/830115135479 |
j-invariant |
L |
3.5267058493924 |
L(r)(E,1)/r! |
Ω |
0.065309359707521 |
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 |
115192s1 |
Quadratic twists by: -11 |