Atkin-Lehner |
2- 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79618x |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-438698091995865856 = -1 · 28 · 7 · 119 · 473 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11- -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13973,31861809] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:3697:1] [-122:5385:1] |
Generators of the group modulo torsion |
j |
170307838007/247633636096 |
j-invariant |
L |
8.7564168817869 |
L(r)(E,1)/r! |
Ω |
0.23288276563876 |
Real period |
R |
0.39166778013598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7238d1 |
Quadratic twists by: -11 |