Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200k |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-1.072E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 5 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-838700,-579266000] |
[a1,a2,a3,a4,a6] |
j |
-15928823248281/26171875000 |
j-invariant |
L |
2.3887351714725 |
L(r)(E,1)/r! |
Ω |
0.074647961949863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200bo1 3350d1 21440b1 |
Quadratic twists by: -4 8 5 |