Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696r |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-39160576 = -1 · 28 · 7 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 2 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,83,-111] |
[a1,a2,a3,a4,a6] |
Generators |
[24:123:1] |
Generators of the group modulo torsion |
j |
244047872/152971 |
j-invariant |
L |
7.06106207107 |
L(r)(E,1)/r! |
Ω |
1.1775098789647 |
Real period |
R |
1.4991513441267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14924a1 |
Quadratic twists by: -4 |