Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360l |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85156531200 = 210 · 39 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21902403,39453520498] |
[a1,a2,a3,a4,a6] |
Generators |
[3602:85410:1] |
Generators of the group modulo torsion |
j |
1556580279686303289604/114075 |
j-invariant |
L |
3.9428355302901 |
L(r)(E,1)/r! |
Ω |
0.41264909140942 |
Real period |
R |
4.7774678441955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4680f3 37440ew4 3120j3 46800p4 |
Quadratic twists by: -4 8 -3 5 |