Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dm |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-4.0784128513993E+19 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-382753,320619201] |
[a1,a2,a3,a4,a6] |
j |
-23655968592999625/155579103523228 |
j-invariant |
L |
2.8094410716485 |
L(r)(E,1)/r! |
Ω |
0.17559007265772 |
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 |
113344bc1 28336s1 |
Quadratic twists by: -4 8 |