Atkin-Lehner |
3+ 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
62415a |
Isogeny class |
Conductor |
62415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
1245577145625 = 39 · 54 · 19 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6023,173206] |
[a1,a2,a3,a4,a6] |
Generators |
[10:332:1] |
Generators of the group modulo torsion |
j |
1227448863243/63281875 |
j-invariant |
L |
1.6427349825675 |
L(r)(E,1)/r! |
Ω |
0.85085407625042 |
Real period |
R |
0.96534472156524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62415b1 |
Quadratic twists by: -3 |