Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112l |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
64 |
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 |
[24:1095:1] |
Generators of the group modulo torsion |
j |
632777823990208/115154361 |
j-invariant |
L |
7.4436617231356 |
L(r)(E,1)/r! |
Ω |
0.90664455287279 |
Real period |
R |
2.0525303190491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860917 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98112u2 49056j1 |
Quadratic twists by: -4 8 |