Atkin-Lehner |
2- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41300b |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-487340000000 = -1 · 28 · 57 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6133,185863] |
[a1,a2,a3,a4,a6] |
Generators |
[474:1475:8] |
Generators of the group modulo torsion |
j |
-6379012096/121835 |
j-invariant |
L |
6.1818620337 |
L(r)(E,1)/r! |
Ω |
0.93310072614701 |
Real period |
R |
1.656268680452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8260d1 |
Quadratic twists by: 5 |