Atkin-Lehner |
2+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12826b |
Isogeny class |
Conductor |
12826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1575258662371328 = -1 · 224 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 1 0 4 11- -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34246,3094936] |
[a1,a2,a3,a4,a6] |
j |
-2507141976625/889192448 |
j-invariant |
L |
1.7919041932215 |
L(r)(E,1)/r! |
Ω |
0.44797604830537 |
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 |
102608r1 115434bs1 106c1 |
Quadratic twists by: -4 -3 -11 |