Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ef |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
9515827200000 = 223 · 3 · 55 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -7 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50145,-4336257] |
[a1,a2,a3,a4,a6] |
j |
439632699649/300000 |
j-invariant |
L |
3.1905067703077 |
L(r)(E,1)/r! |
Ω |
0.31905070834092 |
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 |
116160gn1 3630a1 116160ed1 |
Quadratic twists by: -4 8 -11 |