Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ht |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
5472858496420800 = 26 · 312 · 52 · 235 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445428,114219558] |
[a1,a2,a3,a4,a6] |
Generators |
[369:486:1] |
Generators of the group modulo torsion |
j |
6108537517191549760/3420536560263 |
j-invariant |
L |
9.0547692679405 |
L(r)(E,1)/r! |
Ω |
0.42340014483001 |
Real period |
R |
1.7821536289021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400gm1 55200b1 110400hd1 |
Quadratic twists by: -4 8 5 |