Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742be |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-978873696710712 = -1 · 23 · 33 · 113 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11+ -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18350,-1779019] |
[a1,a2,a3,a4,a6] |
Generators |
[12606:492011:8] |
Generators of the group modulo torsion |
j |
-170953875/244904 |
j-invariant |
L |
11.977328032883 |
L(r)(E,1)/r! |
Ω |
0.19499923008265 |
Real period |
R |
5.1185364636577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742e2 4554u1 |
Quadratic twists by: -3 -23 |