Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450be |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5971968 |
Modular degree for the optimal curve |
Δ |
-2.1438877149543E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4941688,-8218211719] |
[a1,a2,a3,a4,a6] |
Generators |
[39289354381:1957476162003:9393931] |
Generators of the group modulo torsion |
j |
-854141175043560052921/1372088137570776000 |
j-invariant |
L |
8.3558830357114 |
L(r)(E,1)/r! |
Ω |
0.047950286334887 |
Real period |
R |
14.521781610323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690p1 |
Quadratic twists by: 5 |