Atkin-Lehner |
3- 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099o |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
200704 |
Modular degree for the optimal curve |
Δ |
-98906690757 = -1 · 3 · 79 · 19 · 43 |
Discriminant |
Eigenvalues |
1 3- 4 7- 1 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3309,-75071] |
[a1,a2,a3,a4,a6] |
Generators |
[682806749417125:16467421206773237:1116771484375] |
Generators of the group modulo torsion |
j |
-99252847/2451 |
j-invariant |
L |
13.856584492242 |
L(r)(E,1)/r! |
Ω |
0.31428773855852 |
Real period |
R |
22.04442425243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120099i1 |
Quadratic twists by: -7 |