Atkin-Lehner |
2- 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432j |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
113280 |
Modular degree for the optimal curve |
Δ |
-228333715456 = -1 · 222 · 72 · 11 · 101 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-824,-25004] |
[a1,a2,a3,a4,a6] |
Generators |
[388:7630:1] |
Generators of the group modulo torsion |
j |
-15124197817/55745536 |
j-invariant |
L |
3.5478650542875 |
L(r)(E,1)/r! |
Ω |
0.40805867212445 |
Real period |
R |
4.3472486758359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15554b1 |
Quadratic twists by: -4 |