Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360dt |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
101775232204800 = 220 · 3 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17656,-755600] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:98:1] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
4.4634258014576 |
L(r)(E,1)/r! |
Ω |
0.41887364734951 |
Real period |
R |
2.6639452313374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999549654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170u1 2640w1 |
Quadratic twists by: -4 -7 |