Atkin-Lehner |
2- 3- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670bo |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
20650002094817280 = 216 · 313 · 5 · 292 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74093,-3511083] |
[a1,a2,a3,a4,a6] |
j |
61705265795558281/28326477496320 |
j-invariant |
L |
4.8368547302007 |
L(r)(E,1)/r! |
Ω |
0.30230337806301 |
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 |
40890m1 |
Quadratic twists by: -3 |