Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114224w |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205920 |
Modular degree for the optimal curve |
Δ |
-856245035008 = -1 · 213 · 116 · 59 |
Discriminant |
Eigenvalues |
2- -2 -2 -3 11- 3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7784,-270668] |
[a1,a2,a3,a4,a6] |
j |
-7189057/118 |
j-invariant |
L |
0.50777565288784 |
L(r)(E,1)/r! |
Ω |
0.25388723874583 |
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 |
14278b1 944k1 |
Quadratic twists by: -4 -11 |