Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800cm |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-3681812480000 = -1 · 221 · 54 · 532 |
Discriminant |
Eigenvalues |
2- -1 5- -4 5 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3167,60737] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3392:1] |
Generators of the group modulo torsion |
j |
21434375/22472 |
j-invariant |
L |
3.9865080425668 |
L(r)(E,1)/r! |
Ω |
0.52117884716003 |
Real period |
R |
0.95612764768738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800be1 21200y1 84800ca1 |
Quadratic twists by: -4 8 5 |