Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760ch |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
173552792985600 = 213 · 3 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1505907216,-22493401078380] |
[a1,a2,a3,a4,a6] |
j |
783736670177727068275201/360150 |
j-invariant |
L |
3.1021298357984 |
L(r)(E,1)/r! |
Ω |
0.024235389342175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1470k7 47040fl8 35280fs8 58800fz8 |
Quadratic twists by: -4 8 -3 5 |