Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800br |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2087008000000 = 211 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4608,-96788] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:1175:8] |
Generators of the group modulo torsion |
j |
6902546/1331 |
j-invariant |
L |
4.4665393845578 |
L(r)(E,1)/r! |
Ω |
0.58721404744286 |
Real period |
R |
3.8031612648827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998784258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4312c1 107800bj1 |
Quadratic twists by: 5 -7 |