Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
1770h |
Isogeny class |
Conductor |
1770 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5332269648761280 = 26 · 324 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-111765,13936545] |
[a1,a2,a3,a4,a6] |
j |
154397911818504177361/5332269648761280 |
j-invariant |
L |
3.8407193841856 |
L(r)(E,1)/r! |
Ω |
0.42674659824284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14160r3 56640c3 5310d3 8850a4 |
Quadratic twists by: -4 8 -3 5 |