Atkin-Lehner |
2+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104f |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
9999360 |
Modular degree for the optimal curve |
Δ |
-4.7067344754169E+22 |
Discriminant |
Eigenvalues |
2+ 3 -1 7+ 11- 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5466812,-9205843036] |
[a1,a2,a3,a4,a6] |
j |
14622648823378944/38090758396691 |
j-invariant |
L |
4.6698463004482 |
L(r)(E,1)/r! |
Ω |
0.058373079556279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8008d1 |
Quadratic twists by: 13 |