Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984w |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1939809103773696 = 220 · 312 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31404,-313040] |
[a1,a2,a3,a4,a6] |
Generators |
[-220308:787640:1331] |
Generators of the group modulo torsion |
j |
17923019113/10150596 |
j-invariant |
L |
7.4056819785116 |
L(r)(E,1)/r! |
Ω |
0.38687436256094 |
Real period |
R |
9.571171800438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33984bl2 1062h2 11328d2 |
Quadratic twists by: -4 8 -3 |