Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dg |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-85018956750000 = -1 · 24 · 35 · 56 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7833,-515088] |
[a1,a2,a3,a4,a6] |
Generators |
[3388:197106:1] |
Generators of the group modulo torsion |
j |
-212629504000/340075827 |
j-invariant |
L |
5.0456151149444 |
L(r)(E,1)/r! |
Ω |
0.24034718365937 |
Real period |
R |
5.2482569652589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300t1 4368x1 |
Quadratic twists by: -4 5 |