Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26208q |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
428397600181824 = 26 · 314 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82281,-9029680] |
[a1,a2,a3,a4,a6] |
Generators |
[3198308:50398166:6859] |
Generators of the group modulo torsion |
j |
1320428512222912/9182047329 |
j-invariant |
L |
4.9629363632647 |
L(r)(E,1)/r! |
Ω |
0.28200490884611 |
Real period |
R |
8.7993793859329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26208j1 52416gm2 8736s1 |
Quadratic twists by: -4 8 -3 |