Atkin-Lehner |
2- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350t |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-5340400000000 = -1 · 210 · 58 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2438,-121469] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3627:1] |
Generators of the group modulo torsion |
j |
-102568953241/341785600 |
j-invariant |
L |
13.217390344259 |
L(r)(E,1)/r! |
Ω |
0.31257989147605 |
Real period |
R |
2.1142419433807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10270b1 |
Quadratic twists by: 5 |