Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712eg |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-863742528 = -1 · 26 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,1352] |
[a1,a2,a3,a4,a6] |
Generators |
[8:52:1] [28:162:1] |
Generators of the group modulo torsion |
j |
2744000/18513 |
j-invariant |
L |
10.342787928412 |
L(r)(E,1)/r! |
Ω |
1.1482410102718 |
Real period |
R |
4.503753060586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dh1 53856t2 35904bs1 |
Quadratic twists by: -4 8 -3 |