Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bz |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33960402911232 = 215 · 34 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8225,-64641] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:408:1] [-38:441:1] |
Generators of the group modulo torsion |
j |
1878167398472/1036389249 |
j-invariant |
L |
10.515467617622 |
L(r)(E,1)/r! |
Ω |
0.53655514696547 |
Real period |
R |
2.4497639422602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112bt2 49056d2 |
Quadratic twists by: -4 8 |