Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770p |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-159233895360 = -1 · 26 · 311 · 5 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1044,23440] |
[a1,a2,a3,a4,a6] |
j |
-172715635009/218427840 |
j-invariant |
L |
1.8495968701883 |
L(r)(E,1)/r! |
Ω |
0.92479843509417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160cc1 1590j1 23850cc1 |
Quadratic twists by: -4 -3 5 |