Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920hr |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
32397042585600 = 212 · 32 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79065,8526375] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:3960:1] |
Generators of the group modulo torsion |
j |
13345107693305536/7909434225 |
j-invariant |
L |
8.213414738135 |
L(r)(E,1)/r! |
Ω |
0.64972880900152 |
Real period |
R |
1.5801621043594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001676 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920fu2 36960c1 |
Quadratic twists by: -4 8 |