Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bl |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-275916895141888 = -1 · 214 · 77 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13573,517930] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-1274:1] [42:1078:1] |
Generators of the group modulo torsion |
j |
573856191/572572 |
j-invariant |
L |
8.2332953731866 |
L(r)(E,1)/r! |
Ω |
0.36216048784165 |
Real period |
R |
1.420864445947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14014e1 16016h1 |
Quadratic twists by: -4 -7 |