Atkin-Lehner |
3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627k |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
616182831633789 = 36 · 72 · 297 |
Discriminant |
Eigenvalues |
2 3+ 1 7- -2 -7 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25510,-1007931] |
[a1,a2,a3,a4,a6] |
Generators |
[1994:22703:8] [-7484:38497:64] |
Generators of the group modulo torsion |
j |
62992384/21141 |
j-invariant |
L |
20.260393106912 |
L(r)(E,1)/r! |
Ω |
0.38798386686212 |
Real period |
R |
13.054919828845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123627o1 4263d1 |
Quadratic twists by: -7 29 |