Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11400l |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-246924000000 = -1 · 28 · 32 · 56 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1367,14363] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:114:1] |
Generators of the group modulo torsion |
j |
70575104/61731 |
j-invariant |
L |
5.9085917471098 |
L(r)(E,1)/r! |
Ω |
0.64191124589378 |
Real period |
R |
0.3835286020787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22800d1 91200j1 34200cq1 456d1 |
Quadratic twists by: -4 8 -3 5 |