Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3330x |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
4092427850625000000 = 26 · 314 · 510 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1759127,-892306321] |
[a1,a2,a3,a4,a6] |
j |
825824067562227826729/5613755625000000 |
j-invariant |
L |
3.9343630354635 |
L(r)(E,1)/r! |
Ω |
0.13114543451545 |
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 |
26640bv2 106560ce2 1110f2 16650bd2 |
Quadratic twists by: -4 8 -3 5 |