Atkin-Lehner |
5- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475r |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
777840608125 = 54 · 73 · 193 · 232 |
Discriminant |
Eigenvalues |
-1 3 5- 7+ 5 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17505,-886028] |
[a1,a2,a3,a4,a6] |
Generators |
[-2112:1100:27] |
Generators of the group modulo torsion |
j |
949088652138225/1244544973 |
j-invariant |
L |
7.4611249117979 |
L(r)(E,1)/r! |
Ω |
0.41509276344848 |
Real period |
R |
2.995766075457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475i1 |
Quadratic twists by: 5 |