Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bh |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1378944 |
Modular degree for the optimal curve |
Δ |
-105702220167118848 = -1 · 219 · 33 · 7 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-267953,55519823] |
[a1,a2,a3,a4,a6] |
Generators |
[863:21200:1] |
Generators of the group modulo torsion |
j |
-440797954857625/21898985472 |
j-invariant |
L |
9.2328425810021 |
L(r)(E,1)/r! |
Ω |
0.33119728752672 |
Real period |
R |
0.36680485113768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999221479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282f1 |
Quadratic twists by: 13 |