Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830k |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
-4.1542656269841E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13115267,-18313331379] |
[a1,a2,a3,a4,a6] |
Generators |
[3090408052673544470:256700695890307116917:354188598847777] |
Generators of the group modulo torsion |
j |
-281115640967896441/468084326400 |
j-invariant |
L |
4.2150359946686 |
L(r)(E,1)/r! |
Ω |
0.039662668283748 |
Real period |
R |
26.568030953655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490ch1 930j1 |
Quadratic twists by: -3 -31 |