Atkin-Lehner |
2- 3+ 7+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29946n |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74112 |
Modular degree for the optimal curve |
Δ |
-227030478234 = -1 · 2 · 3 · 74 · 232 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -5 -3 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2734,58469] |
[a1,a2,a3,a4,a6] |
j |
-2260107887226337/227030478234 |
j-invariant |
L |
3.8768969165361 |
L(r)(E,1)/r! |
Ω |
0.96922422913381 |
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 |
89838h1 |
Quadratic twists by: -3 |