Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245bc |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
18105078140625 = 3 · 56 · 78 · 67 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8013,184531] |
[a1,a2,a3,a4,a6] |
Generators |
[110:2161:8] |
Generators of the group modulo torsion |
j |
483551781049/153890625 |
j-invariant |
L |
8.5975683139842 |
L(r)(E,1)/r! |
Ω |
0.63759820926745 |
Real period |
R |
4.4947681204227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035b1 |
Quadratic twists by: -7 |