Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990w |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
186704840579040000 = 28 · 35 · 54 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276370659,-1768445456354] |
[a1,a2,a3,a4,a6] |
Generators |
[-3292156:1644819:343] |
Generators of the group modulo torsion |
j |
19843180007106582309156121/1586964960000 |
j-invariant |
L |
4.0867117705194 |
L(r)(E,1)/r! |
Ω |
0.037027685927358 |
Real period |
R |
5.5184541893015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970dy4 124950fx4 3570i3 |
Quadratic twists by: -3 5 -7 |