Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860s |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
234381655468800 = 28 · 36 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 0 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97527,-11699746] |
[a1,a2,a3,a4,a6] |
j |
549706426371664/1255903075 |
j-invariant |
L |
3.7827356735235 |
L(r)(E,1)/r! |
Ω |
0.27019540440267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540d1 |
Quadratic twists by: -3 |