Atkin-Lehner |
2- 3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94860b |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-22054950000 = -1 · 24 · 33 · 55 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -1 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,687,1737] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-93:1] |
Generators of the group modulo torsion |
j |
83006131968/51053125 |
j-invariant |
L |
6.6403332745926 |
L(r)(E,1)/r! |
Ω |
0.74466551136771 |
Real period |
R |
0.74310022253111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94860d1 |
Quadratic twists by: -3 |