Atkin-Lehner |
7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48503g |
Isogeny class |
Conductor |
48503 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-43239187333979 = -1 · 75 · 137 · 41 |
Discriminant |
Eigenvalues |
0 -3 -1 7- 0 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1215448,515766072] |
[a1,a2,a3,a4,a6] |
Generators |
[78520:-45608:125] [-10:22976:1] |
Generators of the group modulo torsion |
j |
-41140801499037696/8958131 |
j-invariant |
L |
4.7195532287762 |
L(r)(E,1)/r! |
Ω |
0.50912074941919 |
Real period |
R |
0.46350038121186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731b1 |
Quadratic twists by: 13 |