Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29736r |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1879663655487744 = 28 · 316 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172191,-27422750] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:198:1] [-243:266:1] |
Generators of the group modulo torsion |
j |
3025433163356368/10071928881 |
j-invariant |
L |
7.3011707070449 |
L(r)(E,1)/r! |
Ω |
0.23441417735763 |
Real period |
R |
7.7866138359731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59472q2 9912f2 |
Quadratic twists by: -4 -3 |