Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dn |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
66465559123920 = 24 · 310 · 5 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99665,-12137430] |
[a1,a2,a3,a4,a6] |
j |
6842835507802095616/4154097445245 |
j-invariant |
L |
5.3741446122541 |
L(r)(E,1)/r! |
Ω |
0.26870722800296 |
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 |
20460c1 |
Quadratic twists by: -4 |