Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672bm |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-2619077296896 = -1 · 28 · 315 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 4 6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1896,71084] |
[a1,a2,a3,a4,a6] |
Generators |
[82:882:1] |
Generators of the group modulo torsion |
j |
4038975488/14033979 |
j-invariant |
L |
6.877036654813 |
L(r)(E,1)/r! |
Ω |
0.57470191349397 |
Real period |
R |
2.9915667942627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25668i1 34224z1 |
Quadratic twists by: -4 -3 |