Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dt |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
7290196328448 = 220 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114060,14826256] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:4352:1] [-256:5220:1] |
Generators of the group modulo torsion |
j |
858729462625/38148 |
j-invariant |
L |
10.789460272603 |
L(r)(E,1)/r! |
Ω |
0.69997182456457 |
Real period |
R |
3.8535337753957 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cd1 26928bq1 35904ct1 |
Quadratic twists by: -4 8 -3 |