Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bf |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
-3.0969841377387E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13- 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4667030,-3891861420] |
[a1,a2,a3,a4,a6] |
Generators |
[7845796628000844088587999889:122399688995965257440144250534:3002022418656735778519279] |
Generators of the group modulo torsion |
j |
-3822235013133286465/10529572330368 |
j-invariant |
L |
4.5071881765659 |
L(r)(E,1)/r! |
Ω |
0.051349679749935 |
Real period |
R |
43.887208240783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kq1 13650bb1 |
Quadratic twists by: 5 -7 |