Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920be |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6349820346777600 = 214 · 32 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166545,-25822575] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:528:1] |
Generators of the group modulo torsion |
j |
31181799673942864/387562277025 |
j-invariant |
L |
4.9783848230552 |
L(r)(E,1)/r! |
Ω |
0.23650639602313 |
Real period |
R |
2.6312104586234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002162 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920hz2 9240z2 |
Quadratic twists by: -4 8 |