Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cx |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
-1078228206629683200 = -1 · 219 · 317 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1523928,-725307408] |
[a1,a2,a3,a4,a6] |
j |
-3822235013133286465/10529572330368 |
j-invariant |
L |
0.27171673018524 |
L(r)(E,1)/r! |
Ω |
0.067929241260569 |
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 |
13650bb1 109200hk1 |
Quadratic twists by: -4 5 |