Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400bf |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3513538518750000 = -1 · 24 · 39 · 58 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37950,-189875] |
[a1,a2,a3,a4,a6] |
Generators |
[446:10269:1] |
Generators of the group modulo torsion |
j |
33165879296/19278675 |
j-invariant |
L |
5.1351310600151 |
L(r)(E,1)/r! |
Ω |
0.26326046668473 |
Real period |
R |
4.8764737872367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800l1 7800d1 4680i1 |
Quadratic twists by: -4 -3 5 |