Atkin-Lehner |
2- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86480j |
Isogeny class |
Conductor |
86480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-1625824000 = -1 · 28 · 53 · 23 · 472 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -2 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3565,80775] |
[a1,a2,a3,a4,a6] |
Generators |
[250:235:8] [35:10:1] |
Generators of the group modulo torsion |
j |
-19578714136576/6350875 |
j-invariant |
L |
6.506232278729 |
L(r)(E,1)/r! |
Ω |
1.4692082915328 |
Real period |
R |
0.36903278203813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21620b1 |
Quadratic twists by: -4 |