Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950bt |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
54601250 = 2 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-200,950] |
[a1,a2,a3,a4,a6] |
j |
11790625/722 |
j-invariant |
L |
3.9133518282478 |
L(r)(E,1)/r! |
Ω |
1.9566761263343 |
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 |
114950cz1 114950dl1 |
Quadratic twists by: 5 -11 |