Atkin-Lehner |
3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3225a |
Isogeny class |
Conductor |
3225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2040 |
Modular degree for the optimal curve |
Δ |
-306123046875 = -1 · 36 · 510 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 0 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,417,-26557] |
[a1,a2,a3,a4,a6] |
Generators |
[33:148:1] |
Generators of the group modulo torsion |
j |
819200/31347 |
j-invariant |
L |
2.1968238944567 |
L(r)(E,1)/r! |
Ω |
0.46586272961548 |
Real period |
R |
2.3578017244157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600dg1 9675g1 3225j1 |
Quadratic twists by: -4 -3 5 |