Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210di |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
17210983610897280 = 27 · 315 · 5 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185072,-29941549] |
[a1,a2,a3,a4,a6] |
Generators |
[-2218:1253:8] [-261:859:1] |
Generators of the group modulo torsion |
j |
513108539209/12597120 |
j-invariant |
L |
17.480077896769 |
L(r)(E,1)/r! |
Ω |
0.23052311017757 |
Real period |
R |
0.90271281397668 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41070k1 123210bc1 |
Quadratic twists by: -3 37 |