Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424q |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1101648821059584 = 215 · 33 · 72 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63169,5919649] |
[a1,a2,a3,a4,a6] |
Generators |
[336:4745:1] |
Generators of the group modulo torsion |
j |
850731782173064/33619653963 |
j-invariant |
L |
5.6530037472414 |
L(r)(E,1)/r! |
Ω |
0.48566789868668 |
Real period |
R |
5.8198243600504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021049 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95424r3 47712k3 |
Quadratic twists by: -4 8 |