Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37600m |
Isogeny class |
Conductor |
37600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
9400000000000 = 212 · 511 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -5 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5633,66863] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:425:1] |
Generators of the group modulo torsion |
j |
308915776/146875 |
j-invariant |
L |
7.5117596865454 |
L(r)(E,1)/r! |
Ω |
0.64973210600203 |
Real period |
R |
2.8903295747411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37600i1 75200cy1 7520c1 |
Quadratic twists by: -4 8 5 |