Atkin-Lehner |
2- 3- 13+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362l |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-1415548390125168 = -1 · 24 · 37 · 136 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21650,2191745] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1015:1] |
Generators of the group modulo torsion |
j |
-1539398573169625/1941767338992 |
j-invariant |
L |
13.388230835965 |
L(r)(E,1)/r! |
Ω |
0.43352083483118 |
Real period |
R |
1.9301596598951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38454f1 |
Quadratic twists by: -3 |