Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184o |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-132937314048 = -1 · 28 · 36 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1276,0] |
[a1,a2,a3,a4,a6] |
Generators |
[176:2376:1] |
Generators of the group modulo torsion |
j |
896799524528/519286383 |
j-invariant |
L |
4.3015310372083 |
L(r)(E,1)/r! |
Ω |
0.62243200733918 |
Real period |
R |
1.7277112180662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592ba1 |
Quadratic twists by: -4 |