Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906bl |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-8276745659337886302 = -1 · 2 · 39 · 119 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5419130,4858921991] |
[a1,a2,a3,a4,a6] |
Generators |
[106068:1270645:64] |
Generators of the group modulo torsion |
j |
-24142643256282491265625/11353560575223438 |
j-invariant |
L |
9.0103966187823 |
L(r)(E,1)/r! |
Ω |
0.22945303214895 |
Real period |
R |
6.5448373278451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16302l1 |
Quadratic twists by: -3 |