Atkin-Lehner |
2- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200v |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-61100000000 = -1 · 28 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -5 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,967,-2437] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1250:1] |
Generators of the group modulo torsion |
j |
24974336/15275 |
j-invariant |
L |
9.025312336637 |
L(r)(E,1)/r! |
Ω |
0.64195772262965 |
Real period |
R |
1.7573805955585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999748385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24440b1 |
Quadratic twists by: 5 |