Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950i |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
1.57668929E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82185900,286741970000] |
[a1,a2,a3,a4,a6] |
j |
3929123145025705846673089/10090811456000000 |
j-invariant |
L |
1.8942145302247 |
L(r)(E,1)/r! |
Ω |
0.1578512108329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790l1 |
Quadratic twists by: 5 |