Atkin-Lehner |
2+ 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310b |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
31758480 = 24 · 34 · 5 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-498,4068] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:99:1] [8:22:1] |
Generators of the group modulo torsion |
j |
13701674594089/31758480 |
j-invariant |
L |
3.8087617425827 |
L(r)(E,1)/r! |
Ω |
2.0864333223695 |
Real period |
R |
0.912744658971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bt1 33930bf1 56550bu1 |
Quadratic twists by: -4 -3 5 |