Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990u |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12795091115520 = 29 · 3 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2006919,1094148682] |
[a1,a2,a3,a4,a6] |
Generators |
[838:584:1] |
Generators of the group modulo torsion |
j |
7598444481718798681/108756480 |
j-invariant |
L |
4.5766880567143 |
L(r)(E,1)/r! |
Ω |
0.50408438453438 |
Real period |
R |
4.5396050712241 |
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 |
74970dv2 124950ft2 3570f2 |
Quadratic twists by: -3 5 -7 |