Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bp |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-6019734996 = -1 · 22 · 37 · 114 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2201,40461] |
[a1,a2,a3,a4,a6] |
Generators |
[47:174:1] |
Generators of the group modulo torsion |
j |
-110433433/564 |
j-invariant |
L |
10.272282722966 |
L(r)(E,1)/r! |
Ω |
1.3517714924465 |
Real period |
R |
0.63326055056858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34122c1 102366r1 |
Quadratic twists by: -3 -11 |