Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34400a |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-23667200 = -1 · 29 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 3 -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3688,-84988] |
[a1,a2,a3,a4,a6] |
Generators |
[88:514:1] |
Generators of the group modulo torsion |
j |
-433515103880/1849 |
j-invariant |
L |
5.0441263859041 |
L(r)(E,1)/r! |
Ω |
0.30631051606114 |
Real period |
R |
4.11684069059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400bd1 68800bd1 34400bn1 |
Quadratic twists by: -4 8 5 |