Atkin-Lehner |
7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139h |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
49896 |
Modular degree for the optimal curve |
Δ |
-13471265899 = -1 · 7 · 13 · 236 |
Discriminant |
Eigenvalues |
0 -2 3 7+ 0 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3879,-94461] |
[a1,a2,a3,a4,a6] |
Generators |
[142431375:244517926:1953125] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
4.3399134750841 |
L(r)(E,1)/r! |
Ω |
0.30243077852991 |
Real period |
R |
14.35010515851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91b1 |
Quadratic twists by: -23 |