Atkin-Lehner |
2+ 3- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346be |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
712704 |
Modular degree for the optimal curve |
Δ |
-1866181376176128 = -1 · 212 · 310 · 114 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15228,2204496] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:1404:1] |
Generators of the group modulo torsion |
j |
-535723663845313/2559919583232 |
j-invariant |
L |
4.9893688018308 |
L(r)(E,1)/r! |
Ω |
0.40706835774369 |
Real period |
R |
1.5321040996378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34782ba1 |
Quadratic twists by: -3 |