Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
910c |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7245875000 = 23 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14669,-685008] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:38:1] |
Generators of the group modulo torsion |
j |
349046010201856969/7245875000 |
j-invariant |
L |
1.3176683943444 |
L(r)(E,1)/r! |
Ω |
0.43381395176111 |
Real period |
R |
1.0124681244846 |
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 |
7280n4 29120x4 8190bu4 4550q4 |
Quadratic twists by: -4 8 -3 5 |