Atkin-Lehner |
2- 3- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26226r |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
401280 |
Modular degree for the optimal curve |
Δ |
98648571243921408 = 219 · 317 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 -6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-809015,279874703] |
[a1,a2,a3,a4,a6] |
Generators |
[1251:34366:1] |
Generators of the group modulo torsion |
j |
80327713009607043625/135320399511552 |
j-invariant |
L |
8.5721017431269 |
L(r)(E,1)/r! |
Ω |
0.33681277600223 |
Real period |
R |
0.33487688248743 |
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 |
8742e1 |
Quadratic twists by: -3 |