Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20060c |
Isogeny class |
Conductor |
20060 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-48614852332000000 = -1 · 28 · 56 · 17 · 595 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62992,8689332] |
[a1,a2,a3,a4,a6] |
Generators |
[797:23773:1] |
Generators of the group modulo torsion |
j |
107979158633250816/189901766921875 |
j-invariant |
L |
3.3699392356153 |
L(r)(E,1)/r! |
Ω |
0.24502691952496 |
Real period |
R |
6.8766714329769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80240n1 100300b1 |
Quadratic twists by: -4 5 |