Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fu |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
48125000000 = 26 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27083,1724537] |
[a1,a2,a3,a4,a6] |
Generators |
[2366416:7775757:29791] |
Generators of the group modulo torsion |
j |
3515200000/77 |
j-invariant |
L |
11.131457564361 |
L(r)(E,1)/r! |
Ω |
1.0446195019156 |
Real period |
R |
10.655992446007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ez1 61600t1 123200gz1 |
Quadratic twists by: -4 8 5 |