Atkin-Lehner |
2- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114700f |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-10195969750000 = -1 · 24 · 56 · 313 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -4 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3158,-169187] |
[a1,a2,a3,a4,a6] |
j |
-13936624384/40783879 |
j-invariant |
L |
0.58930935744407 |
L(r)(E,1)/r! |
Ω |
0.29465454583255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4588d1 |
Quadratic twists by: 5 |