Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3300l |
Isogeny class |
Conductor |
3300 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-162384750000 = -1 · 24 · 310 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1933,37388] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:225:1] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
3.8024792103343 |
L(r)(E,1)/r! |
Ω |
0.97890066698671 |
Real period |
R |
0.12948127556324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13200bq1 52800bf1 9900r1 132b1 |
Quadratic twists by: -4 8 -3 5 |