Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cn |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
552 |
Product of Tamagawa factors cp |
deg |
699494400 |
Modular degree for the optimal curve |
Δ |
-3.4406450834791E+33 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89956073957,10761360678257181] |
[a1,a2,a3,a4,a6] |
Generators |
[800831:672145824:1] |
Generators of the group modulo torsion |
j |
-124427822010671478697670089/5317924709672681472000 |
j-invariant |
L |
12.425776706559 |
L(r)(E,1)/r! |
Ω |
0.01396616685246 |
Real period |
R |
1.6117854867816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830c1 2790ba1 |
Quadratic twists by: -3 -31 |