Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600d |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-37190816000000 = -1 · 211 · 56 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -2 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7592,143312] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-598:1] |
Generators of the group modulo torsion |
j |
1512116062/1162213 |
j-invariant |
L |
3.6662881789426 |
L(r)(E,1)/r! |
Ω |
0.4165304692512 |
Real period |
R |
0.73349740201985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999297606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59800c1 4784a1 |
Quadratic twists by: -4 5 |