Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456t |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
69642442248192 = 212 · 39 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -6 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17955,-834462] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:242:1] |
Generators of the group modulo torsion |
j |
7940149875/863819 |
j-invariant |
L |
2.4862350563163 |
L(r)(E,1)/r! |
Ω |
0.41534248094794 |
Real period |
R |
1.4964969627512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5841c1 93456v1 |
Quadratic twists by: -4 -3 |