Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712i |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
60426432 = 26 · 33 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1167,-15340] |
[a1,a2,a3,a4,a6] |
Generators |
[44:136:1] [112:1122:1] |
Generators of the group modulo torsion |
j |
101716765632/34969 |
j-invariant |
L |
7.5677135576731 |
L(r)(E,1)/r! |
Ω |
0.81684715528285 |
Real period |
R |
4.6322702534039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712s1 53856s2 107712n1 |
Quadratic twists by: -4 8 -3 |