Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3330m |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
946252800 = 210 · 33 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-409598,-100796019] |
[a1,a2,a3,a4,a6] |
j |
281470209323873024547/35046400 |
j-invariant |
L |
3.7743326705797 |
L(r)(E,1)/r! |
Ω |
0.18871663352899 |
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 |
26640t2 106560z2 3330b2 16650f2 |
Quadratic twists by: -4 8 -3 5 |