Atkin-Lehner |
2+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720h |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1160026362843040000 = 28 · 54 · 72 · 116 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523087,-136083666] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:2520:1] |
Generators of the group modulo torsion |
j |
61830894216421225296/4531352979855625 |
j-invariant |
L |
7.0465006104638 |
L(r)(E,1)/r! |
Ω |
0.17834505467758 |
Real period |
R |
3.292540884951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000861 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52360l2 |
Quadratic twists by: -4 |