Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48400bp |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-1509086522240000000 = -1 · 213 · 57 · 119 |
Discriminant |
Eigenvalues |
2- -3 5+ 5 11+ 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,232925,-40262750] |
[a1,a2,a3,a4,a6] |
j |
9261/10 |
j-invariant |
L |
2.3217973745793 |
L(r)(E,1)/r! |
Ω |
0.14511233589875 |
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 |
6050d1 9680o1 48400bq1 |
Quadratic twists by: -4 5 -11 |