Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
72216b |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-517294329264 = -1 · 24 · 38 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,726,-33775] |
[a1,a2,a3,a4,a6] |
Generators |
[532:12285:1] |
Generators of the group modulo torsion |
j |
3628156928/44349651 |
j-invariant |
L |
7.8710781265816 |
L(r)(E,1)/r! |
Ω |
0.45566141582056 |
Real period |
R |
4.3184905790562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24072d1 |
Quadratic twists by: -3 |