Atkin-Lehner |
2+ 5+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950f |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-135859375000 = -1 · 23 · 510 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,583,16741] |
[a1,a2,a3,a4,a6] |
Generators |
[39:293:1] |
Generators of the group modulo torsion |
j |
1401168159/8695000 |
j-invariant |
L |
3.8031453557059 |
L(r)(E,1)/r! |
Ω |
0.75129099534258 |
Real period |
R |
2.5310734306403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17390f1 |
Quadratic twists by: 5 |