Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928k |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-314361552863232 = -1 · 215 · 39 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 7 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7020,-882576] |
[a1,a2,a3,a4,a6] |
j |
-59319000/487403 |
j-invariant |
L |
4.5886532838518 |
L(r)(E,1)/r! |
Ω |
0.22943270656148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928c1 58464t1 116928q1 |
Quadratic twists by: -4 8 -3 |