Atkin-Lehner |
2+ 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184g |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-83810373953999616 = -1 · 28 · 35 · 73 · 115 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11+ -3 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15212,-13942224] |
[a1,a2,a3,a4,a6] |
j |
-1520796996637648/327384273257811 |
j-invariant |
L |
0.91411007668163 |
L(r)(E,1)/r! |
Ω |
0.15235163275575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53592bh1 |
Quadratic twists by: -4 |