Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bc |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-7706600568576 = -1 · 28 · 39 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3969,92610] |
[a1,a2,a3,a4,a6] |
j |
11664/13 |
j-invariant |
L |
1.9701318345476 |
L(r)(E,1)/r! |
Ω |
0.49253295863978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728j1 45864e1 936f1 |
Quadratic twists by: -4 -3 -7 |