Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440a |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9642240000 = 211 · 35 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-321416,-70030320] |
[a1,a2,a3,a4,a6] |
Generators |
[30298:5272750:1] |
Generators of the group modulo torsion |
j |
1793071414868660498/4708125 |
j-invariant |
L |
3.2189563983311 |
L(r)(E,1)/r! |
Ω |
0.20050839893119 |
Real period |
R |
8.0269864391959 |
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 |
3720c4 29760ct4 22320l4 37200p4 |
Quadratic twists by: -4 8 -3 5 |