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 |
293709375000 = 23 · 33 · 58 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4010125,-3091234375] |
[a1,a2,a3,a4,a6] |
j |
7131771986839837165458001/293709375000 |
j-invariant |
L |
3.8407193841856 |
L(r)(E,1)/r! |
Ω |
0.10668664956071 |
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 |
14160r5 56640c6 5310d5 8850a5 |
Quadratic twists by: -4 8 -3 5 |