Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800eb |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-126498240000000000 = -1 · 215 · 33 · 510 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72033,18683937] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:5000:1] [131:3388:1] |
Generators of the group modulo torsion |
j |
-80733594248/247066875 |
j-invariant |
L |
8.349379552864 |
L(r)(E,1)/r! |
Ω |
0.29003220403796 |
Real period |
R |
3.5984708924655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800gs3 26400t2 10560cc4 |
Quadratic twists by: -4 8 5 |