Atkin-Lehner |
3+ 5- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
62415b |
Isogeny class |
Conductor |
62415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
1708610625 = 33 · 54 · 19 · 732 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-669,-6192] |
[a1,a2,a3,a4,a6] |
j |
1227448863243/63281875 |
j-invariant |
L |
3.7667095841812 |
L(r)(E,1)/r! |
Ω |
0.94167739496782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62415a1 |
Quadratic twists by: -3 |