Atkin-Lehner |
2- 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910br |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-29929905600 = -1 · 26 · 3 · 52 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-491,9113] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:98:1] |
Generators of the group modulo torsion |
j |
-111284641/254400 |
j-invariant |
L |
7.8309045193161 |
L(r)(E,1)/r! |
Ω |
1.043239241779 |
Real period |
R |
0.62552801938689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590t1 |
Quadratic twists by: -7 |