Atkin-Lehner |
2- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
74048bb |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
18956288 = 214 · 13 · 89 |
Discriminant |
Eigenvalues |
2- -2 2 -3 0 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117,403] |
[a1,a2,a3,a4,a6] |
j |
10903552/1157 |
j-invariant |
L |
2.1074526424508 |
L(r)(E,1)/r! |
Ω |
2.1074526329004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048m1 18512h1 |
Quadratic twists by: -4 8 |