Atkin-Lehner |
2- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
48664h |
Isogeny class |
Conductor |
48664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-58035518464 = -1 · 210 · 72 · 114 · 79 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,968,0] |
[a1,a2,a3,a4,a6] |
Generators |
[11:110:1] |
Generators of the group modulo torsion |
j |
97859073308/56675311 |
j-invariant |
L |
4.8209214360393 |
L(r)(E,1)/r! |
Ω |
0.66237626452246 |
Real period |
R |
1.819555475592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97328d1 |
Quadratic twists by: -4 |