Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112b |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28877893632 = -1 · 212 · 33 · 72 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-537,9657] |
[a1,a2,a3,a4,a6] |
Generators |
[83:728:1] |
Generators of the group modulo torsion |
j |
-4188852928/7050267 |
j-invariant |
L |
6.0457351808753 |
L(r)(E,1)/r! |
Ω |
1.056395515398 |
Real period |
R |
2.86149225861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112z2 49056f1 |
Quadratic twists by: -4 8 |