Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070n |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
40656 |
Modular degree for the optimal curve |
Δ |
-4790054880000000 = -1 · 211 · 311 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 5 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39939,1301139] |
[a1,a2,a3,a4,a6] |
j |
41689615345255319/28343520000000 |
j-invariant |
L |
3.0032973855657 |
L(r)(E,1)/r! |
Ω |
0.27302703505143 |
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 |
40560cf1 15210t1 25350bc1 5070f1 |
Quadratic twists by: -4 -3 5 13 |