Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504b |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-9.137014495084E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,717248,395792080] |
[a1,a2,a3,a4,a6] |
j |
22494434350748/50367250791 |
j-invariant |
L |
0.52985794858893 |
L(r)(E,1)/r! |
Ω |
0.13246448619595 |
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 |
37752j1 6864f1 |
Quadratic twists by: -4 -11 |