Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dz |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-30833449920000000 = -1 · 212 · 32 · 57 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,78374,235148] |
[a1,a2,a3,a4,a6] |
Generators |
[46:1961:1] |
Generators of the group modulo torsion |
j |
28962726911/16773120 |
j-invariant |
L |
5.733731502231 |
L(r)(E,1)/r! |
Ω |
0.22240225009482 |
Real period |
R |
3.2226132558179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cg1 13650l1 |
Quadratic twists by: 5 -7 |