Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13464b |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
10635052032 = 210 · 33 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1467,-21050] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:24:1] |
Generators of the group modulo torsion |
j |
12628458252/384659 |
j-invariant |
L |
3.7623008677613 |
L(r)(E,1)/r! |
Ω |
0.77286118726727 |
Real period |
R |
2.4340081567974 |
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 |
26928e1 107712o1 13464m1 |
Quadratic twists by: -4 8 -3 |