Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752ba |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-58690732868352 = -1 · 28 · 39 · 132 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 5 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6696,-302292] |
[a1,a2,a3,a4,a6] |
j |
6589292544/11647649 |
j-invariant |
L |
2.6251889414372 |
L(r)(E,1)/r! |
Ω |
0.32814862005838 |
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 |
19188d1 76752bj1 |
Quadratic twists by: -4 -3 |