Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272c |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1020096 |
Modular degree for the optimal curve |
Δ |
98298283067615232 = 211 · 311 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -2 -7 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-206600,32915436] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:5228:1] |
Generators of the group modulo torsion |
j |
82604269202/8325909 |
j-invariant |
L |
2.1649086053484 |
L(r)(E,1)/r! |
Ω |
0.32722378498826 |
Real period |
R |
6.6159879098149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544bd1 55272l1 |
Quadratic twists by: -4 -7 |