Atkin-Lehner |
2- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
82544bd |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
450011398144 = 216 · 7 · 114 · 67 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4152,99184] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:448:1] [10:242:1] |
Generators of the group modulo torsion |
j |
1933038007993/109866064 |
j-invariant |
L |
7.1120622806792 |
L(r)(E,1)/r! |
Ω |
0.92440220485431 |
Real period |
R |
0.96171101755968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318b1 |
Quadratic twists by: -4 |