Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gw |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-6800694312222720000 = -1 · 217 · 33 · 54 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-801008,-303386412] |
[a1,a2,a3,a4,a6] |
Generators |
[6898:567840:1] |
Generators of the group modulo torsion |
j |
-22202140659489025/2656521215712 |
j-invariant |
L |
8.6768252832291 |
L(r)(E,1)/r! |
Ω |
0.079260148624659 |
Real period |
R |
0.2172078078368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650ch1 109200dl1 |
Quadratic twists by: -4 5 |