Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29736r |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1074985561190274048 = -1 · 210 · 326 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97851,-51256154] |
[a1,a2,a3,a4,a6] |
Generators |
[579:9284:1] [819:20444:1] |
Generators of the group modulo torsion |
j |
-138800820116452/1440041957613 |
j-invariant |
L |
7.3011707070449 |
L(r)(E,1)/r! |
Ω |
0.11720708867882 |
Real period |
R |
31.146455343892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472q3 9912f4 |
Quadratic twists by: -4 -3 |