Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9660b |
Isogeny class |
Conductor |
9660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
7607250000 = 24 · 33 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10101,394110] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:875:1] |
Generators of the group modulo torsion |
j |
7124261256822784/475453125 |
j-invariant |
L |
4.0044271001007 |
L(r)(E,1)/r! |
Ω |
1.2522795807197 |
Real period |
R |
1.0659033764647 |
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 |
38640co1 28980j1 48300s1 67620bl1 |
Quadratic twists by: -4 -3 5 -7 |