Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800bj |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-4.642944754734E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,70967,327777563] |
[a1,a2,a3,a4,a6] |
Generators |
[-637:4950:1] [3323:-193050:1] |
Generators of the group modulo torsion |
j |
9881592513536/11607361886835 |
j-invariant |
L |
12.12068479402 |
L(r)(E,1)/r! |
Ω |
0.15774502336267 |
Real period |
R |
0.040019371319054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17160p1 |
Quadratic twists by: 5 |