Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400u |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
55440000000 = 210 · 32 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 0 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-61488] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:18:1] |
Generators of the group modulo torsion |
j |
188183524/3465 |
j-invariant |
L |
5.1312178085263 |
L(r)(E,1)/r! |
Ω |
0.6453622448692 |
Real period |
R |
1.987727764157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200ba1 18480bb1 |
Quadratic twists by: -4 5 |