Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304bp |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-18208804850675712 = -1 · 212 · 33 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70233,9691641] |
[a1,a2,a3,a4,a6] |
Generators |
[47:2548:1] |
Generators of the group modulo torsion |
j |
-79507000000/37786203 |
j-invariant |
L |
3.2397076523419 |
L(r)(E,1)/r! |
Ω |
0.36190941581187 |
Real period |
R |
1.118963589314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999412128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ea2 61152q1 17472t2 |
Quadratic twists by: -4 8 -7 |