Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bt |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
64 |
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 |
[101:-504:1] [-75:504:1] |
Generators of the group modulo torsion |
j |
1878167398472/1036389249 |
j-invariant |
L |
7.2626417175851 |
L(r)(E,1)/r! |
Ω |
0.56840726779445 |
Real period |
R |
0.79857372169254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112bz2 49056k2 |
Quadratic twists by: -4 8 |