Atkin-Lehner |
2- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904r |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-671534246656 = -1 · 28 · 73 · 133 · 592 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 6 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4277,-113239] |
[a1,a2,a3,a4,a6] |
j |
-33806719909888/2623180651 |
j-invariant |
L |
3.5263725996233 |
L(r)(E,1)/r! |
Ω |
0.29386437708978 |
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 |
21476i1 |
Quadratic twists by: -4 |