Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3094h |
Isogeny class |
Conductor |
3094 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-792064 = -1 · 29 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 3 7- 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-349,2481] |
[a1,a2,a3,a4,a6] |
j |
-4701947389777/792064 |
j-invariant |
L |
2.7418007712413 |
L(r)(E,1)/r! |
Ω |
2.7418007712413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24752v1 99008x1 27846v1 77350f1 |
Quadratic twists by: -4 8 -3 5 |