Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112b |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
23841216 = 26 · 36 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-672,6930] |
[a1,a2,a3,a4,a6] |
Generators |
[1636:4875:64] |
Generators of the group modulo torsion |
j |
525167290432/372519 |
j-invariant |
L |
6.0457351808753 |
L(r)(E,1)/r! |
Ω |
2.1127910307959 |
Real period |
R |
5.72298451722 |
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 |
98112z1 49056f2 |
Quadratic twists by: -4 8 |