Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712dq |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.074539096579E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-590583,-235351640] |
[a1,a2,a3,a4,a6] |
Generators |
[95343238772735397589325963640:-1559992842645033111451008002756:91086559768984697880325875] |
Generators of the group modulo torsion |
j |
-488268868033624384/230311020357297 |
j-invariant |
L |
7.9451062106309 |
L(r)(E,1)/r! |
Ω |
0.084205267705782 |
Real period |
R |
47.177013772848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712es1 53856ba2 35904df1 |
Quadratic twists by: -4 8 -3 |