Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400cc |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
8280000 = 26 · 32 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1608,25362] |
[a1,a2,a3,a4,a6] |
Generators |
[27:30:1] [23:4:1] |
Generators of the group modulo torsion |
j |
11502491200/207 |
j-invariant |
L |
10.011039118248 |
L(r)(E,1)/r! |
Ω |
2.1397001567368 |
Real period |
R |
0.7797852022762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fg1 55200bh1 110400ee1 |
Quadratic twists by: -4 8 5 |