Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bp |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
111123643910400 = 28 · 34 · 52 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79900,-8704852] |
[a1,a2,a3,a4,a6] |
j |
124386546256/245025 |
j-invariant |
L |
4.5439525102351 |
L(r)(E,1)/r! |
Ω |
0.28399703188972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14520n2 116160fv2 87120bi2 2640l2 |
Quadratic twists by: -4 8 -3 -11 |