Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77924k |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
61845109475072 = 28 · 72 · 118 · 23 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17948,838660] |
[a1,a2,a3,a4,a6] |
Generators |
[216:-2662:1] [32:546:1] |
Generators of the group modulo torsion |
j |
1409938000/136367 |
j-invariant |
L |
7.0939483125554 |
L(r)(E,1)/r! |
Ω |
0.60551466004268 |
Real period |
R |
1.9525947046234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7084h2 |
Quadratic twists by: -11 |