Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bf |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1607467008 = -1 · 220 · 3 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,287,385] |
[a1,a2,a3,a4,a6] |
Generators |
[45:320:1] |
Generators of the group modulo torsion |
j |
9938375/6132 |
j-invariant |
L |
5.8223443151097 |
L(r)(E,1)/r! |
Ω |
0.92706260669266 |
Real period |
R |
1.5701054815687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112bb1 24528p1 |
Quadratic twists by: -4 8 |