Atkin-Lehner |
2+ 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446be |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
7478094210048 = 210 · 33 · 76 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62844,-6067526] |
[a1,a2,a3,a4,a6] |
j |
233301213501481/63562752 |
j-invariant |
L |
3.6184516514387 |
L(r)(E,1)/r! |
Ω |
0.30153763768972 |
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 |
1254c1 |
Quadratic twists by: -7 |