Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57400s |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-344543500000000 = -1 · 28 · 59 · 75 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-374300,-88145500] |
[a1,a2,a3,a4,a6] |
Generators |
[2680:134750:1] |
Generators of the group modulo torsion |
j |
-1449850431476736/86135875 |
j-invariant |
L |
6.5233673875336 |
L(r)(E,1)/r! |
Ω |
0.096507941926466 |
Real period |
R |
3.3797049534205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800b1 11480d1 |
Quadratic twists by: -4 5 |