Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296c |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
246970421712 = 24 · 38 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1659,-9702] |
[a1,a2,a3,a4,a6] |
Generators |
[94:810:1] |
Generators of the group modulo torsion |
j |
4604090368/2250423 |
j-invariant |
L |
3.7224158557479 |
L(r)(E,1)/r! |
Ω |
0.7859672459655 |
Real period |
R |
4.7360954220823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999468734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648bm1 121296z1 |
Quadratic twists by: -4 -19 |