Atkin-Lehner |
3+ 5- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
28635f |
Isogeny class |
Conductor |
28635 |
Conductor |
∏ cp |
99 |
Product of Tamagawa factors cp |
deg |
1061280 |
Modular degree for the optimal curve |
Δ |
-8.2545633801123E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 -4 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2829050,1881771842] |
[a1,a2,a3,a4,a6] |
Generators |
[962:-7669:1] [-9554:482023:8] |
Generators of the group modulo torsion |
j |
-2504064960544246005463201/82545633801123046875 |
j-invariant |
L |
4.399017947451 |
L(r)(E,1)/r! |
Ω |
0.19127609360281 |
Real period |
R |
0.23230568904231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85905b1 |
Quadratic twists by: -3 |