Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bu |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-935746240000000 = -1 · 212 · 57 · 113 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17867,1155363] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1375:1] |
Generators of the group modulo torsion |
j |
9855401984/14621035 |
j-invariant |
L |
4.1231043359537 |
L(r)(E,1)/r! |
Ω |
0.33701368641349 |
Real period |
R |
2.039039017384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3575b2 11440v2 |
Quadratic twists by: -4 5 |