Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ch |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
604492922880 = 217 · 32 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53921,-4837185] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:9:1] |
Generators of the group modulo torsion |
j |
132280446972242/4611915 |
j-invariant |
L |
6.3674913058775 |
L(r)(E,1)/r! |
Ω |
0.31329993698752 |
Real period |
R |
2.5404933719024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920er4 9240d3 |
Quadratic twists by: -4 8 |