Atkin-Lehner |
2- 3+ 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470p |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12595290081987600 = 24 · 38 · 52 · 132 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-584610,171718815] |
[a1,a2,a3,a4,a6] |
Generators |
[-3512863:-71910665:4913] |
Generators of the group modulo torsion |
j |
22096448592452999051041/12595290081987600 |
j-invariant |
L |
7.7969690756462 |
L(r)(E,1)/r! |
Ω |
0.39508605344365 |
Real period |
R |
9.8674314211881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
85410h2 |
Quadratic twists by: -3 |