Atkin-Lehner |
2+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950o |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.6742498058207E+28 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2157963401,-41104506944052] |
[a1,a2,a3,a4,a6] |
j |
-71127232366283506268762767489/5551519875725217554022400 |
j-invariant |
L |
0.17641614590223 |
L(r)(E,1)/r! |
Ω |
0.011026009050883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590m2 |
Quadratic twists by: 5 |