Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864y |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-45192641519458048 = -1 · 28 · 77 · 118 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73124,12724732] |
[a1,a2,a3,a4,a6] |
Generators |
[62:2904:1] |
Generators of the group modulo torsion |
j |
-810448/847 |
j-invariant |
L |
3.5511875406938 |
L(r)(E,1)/r! |
Ω |
0.32685509284111 |
Real period |
R |
2.7161788334235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47432y1 13552g1 8624k1 |
Quadratic twists by: -4 -7 -11 |