Atkin-Lehner |
2- 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350bl |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-197087800000000 = -1 · 29 · 58 · 73 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 5 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11362,493531] |
[a1,a2,a3,a4,a6] |
j |
415265300735/504544768 |
j-invariant |
L |
6.8121234689402 |
L(r)(E,1)/r! |
Ω |
0.37845130701467 |
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 |
77350o1 |
Quadratic twists by: 5 |