Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100368bo |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1130496 |
Modular degree for the optimal curve |
Δ |
3946282166587392 = 212 · 314 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-600411,-179043766] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:88:1] |
Generators of the group modulo torsion |
j |
8016451263971353/1321601913 |
j-invariant |
L |
2.2631327452303 |
L(r)(E,1)/r! |
Ω |
0.17151088620521 |
Real period |
R |
3.2988179251621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6273a1 33456o1 |
Quadratic twists by: -4 -3 |