Atkin-Lehner |
2+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342f |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
31795200 |
Modular degree for the optimal curve |
Δ |
1.4157896916287E+25 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 0 4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-113275465,-427238247283] |
[a1,a2,a3,a4,a6] |
Generators |
[-160953:5214476:27] |
Generators of the group modulo torsion |
j |
1366290457558475872454361/120340138176160989184 |
j-invariant |
L |
8.7225090316701 |
L(r)(E,1)/r! |
Ω |
0.046537235500706 |
Real period |
R |
4.6857687913347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906d1 |
Quadratic twists by: -7 |