Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976t |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
272217088 = 210 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2080,-36504] |
[a1,a2,a3,a4,a6] |
j |
442368000/121 |
j-invariant |
L |
1.4139073976792 |
L(r)(E,1)/r! |
Ω |
0.70695350120005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118976dp1 7436d1 118976bq1 |
Quadratic twists by: -4 8 13 |