Atkin-Lehner |
2- 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4026g |
Isogeny class |
Conductor |
4026 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
51680 |
Modular degree for the optimal curve |
Δ |
-102220096386760704 = -1 · 217 · 319 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11+ -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,114746,3624899] |
[a1,a2,a3,a4,a6] |
j |
167084491388439286943/102220096386760704 |
j-invariant |
L |
3.5177701361074 |
L(r)(E,1)/r! |
Ω |
0.20692765506514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32208q1 128832x1 12078l1 100650p1 |
Quadratic twists by: -4 8 -3 5 |