Atkin-Lehner |
2- 3+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
72816g |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
217209983533056 = 216 · 310 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-807792,279714240] |
[a1,a2,a3,a4,a6] |
Generators |
[1320:38880:1] |
Generators of the group modulo torsion |
j |
14231902020888283633/53029781136 |
j-invariant |
L |
4.1809892818764 |
L(r)(E,1)/r! |
Ω |
0.49189600571739 |
Real period |
R |
2.1249355719228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9102g1 |
Quadratic twists by: -4 |