Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320ba |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
155734470536400 = 24 · 39 · 52 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19218,-831283] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:333:1] |
Generators of the group modulo torsion |
j |
67297784682496/13351720725 |
j-invariant |
L |
5.5074200261145 |
L(r)(E,1)/r! |
Ω |
0.41110309415666 |
Real period |
R |
3.3491720989811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999547833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440g1 |
Quadratic twists by: -3 |