Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600l |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12902400000000 = 219 · 32 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26880033,-53631540063] |
[a1,a2,a3,a4,a6] |
Generators |
[430955733:21753795500:59319] |
Generators of the group modulo torsion |
j |
524388516989299201/3150 |
j-invariant |
L |
3.7820952770563 |
L(r)(E,1)/r! |
Ω |
0.066304362524967 |
Real period |
R |
14.260356080009 |
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 |
33600gt6 1050g5 100800dy6 6720u5 |
Quadratic twists by: -4 8 -3 5 |