Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112x |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-6181056 = -1 · 26 · 33 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -4 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47,-189] |
[a1,a2,a3,a4,a6] |
Generators |
[10:21:1] |
Generators of the group modulo torsion |
j |
-183250432/96579 |
j-invariant |
L |
5.2026917715936 |
L(r)(E,1)/r! |
Ω |
0.88810384642147 |
Real period |
R |
0.9763670095197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112n1 49056c1 |
Quadratic twists by: -4 8 |