Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770i |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-219021716448000000 = -1 · 211 · 317 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 5 -2 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78017760,265259084800] |
[a1,a2,a3,a4,a6] |
j |
-72040483310118508805967361/300441312000000 |
j-invariant |
L |
1.6947758601278 |
L(r)(E,1)/r! |
Ω |
0.21184698251598 |
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 |
38160bl1 1590r1 23850cv1 |
Quadratic twists by: -4 -3 5 |