Atkin-Lehner |
5- 37- 83- |
Signs for the Atkin-Lehner involutions |
Class |
76775f |
Isogeny class |
Conductor |
76775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-44385546875 = -1 · 58 · 372 · 83 |
Discriminant |
Eigenvalues |
-1 1 5- 1 3 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1013,-16108] |
[a1,a2,a3,a4,a6] |
j |
-294319345/113627 |
j-invariant |
L |
2.4910331597436 |
L(r)(E,1)/r! |
Ω |
0.41517219582404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76775a1 |
Quadratic twists by: 5 |