Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37600p |
Isogeny class |
Conductor |
37600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
606720 |
Modular degree for the optimal curve |
Δ |
830584000000000 = 212 · 59 · 473 |
Discriminant |
Eigenvalues |
2- 3 5- -3 -3 5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-383500,91400000] |
[a1,a2,a3,a4,a6] |
Generators |
[4800:145000:27] |
Generators of the group modulo torsion |
j |
779704121664/103823 |
j-invariant |
L |
9.4394851919241 |
L(r)(E,1)/r! |
Ω |
0.48340114875553 |
Real period |
R |
4.8818073851419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37600r1 75200dp1 37600h1 |
Quadratic twists by: -4 8 5 |