Atkin-Lehner |
2- 3+ 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770t |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
284544 |
Modular degree for the optimal curve |
Δ |
-2810998619136000 = -1 · 213 · 38 · 53 · 193 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -1 4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-227421,-41916621] |
[a1,a2,a3,a4,a6] |
Generators |
[823:17732:1] |
Generators of the group modulo torsion |
j |
-1300814969454586517329/2810998619136000 |
j-invariant |
L |
7.2901114046869 |
L(r)(E,1)/r! |
Ω |
0.10929635418185 |
Real period |
R |
2.5654003034147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104310x1 |
Quadratic twists by: -3 |