Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28208i |
Isogeny class |
Conductor |
28208 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8480 |
Modular degree for the optimal curve |
Δ |
-7221248 = -1 · 212 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 0 6 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1509,-22067] |
[a1,a2,a3,a4,a6] |
Generators |
[550436:176449:12167] |
Generators of the group modulo torsion |
j |
-92836605952/1763 |
j-invariant |
L |
4.0138669212498 |
L(r)(E,1)/r! |
Ω |
0.38297707096378 |
Real period |
R |
10.480697737723 |
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 |
1763d1 112832bn1 |
Quadratic twists by: -4 8 |