Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112u |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
471672262656 = 212 · 32 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28617,-1872585] |
[a1,a2,a3,a4,a6] |
Generators |
[-198369659007:-12596319360:2005142581] |
Generators of the group modulo torsion |
j |
632777823990208/115154361 |
j-invariant |
L |
10.336560213776 |
L(r)(E,1)/r! |
Ω |
0.36706840669949 |
Real period |
R |
14.079882707648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900854 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98112l2 49056l1 |
Quadratic twists by: -4 8 |