Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bm |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-464750000000000000 = -1 · 213 · 515 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195008,-46696012] |
[a1,a2,a3,a4,a6] |
Generators |
[674:11336:1] |
Generators of the group modulo torsion |
j |
-12814546750201/7261718750 |
j-invariant |
L |
7.1097795819544 |
L(r)(E,1)/r! |
Ω |
0.11069191137122 |
Real period |
R |
4.0143965206504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150o1 11440u1 |
Quadratic twists by: -4 5 |