Atkin-Lehner |
2+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24674f |
Isogeny class |
Conductor |
24674 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-656920576 = -1 · 212 · 133 · 73 |
Discriminant |
Eigenvalues |
2+ 0 1 2 0 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,196,-688] |
[a1,a2,a3,a4,a6] |
Generators |
[88:788:1] |
Generators of the group modulo torsion |
j |
377933067/299008 |
j-invariant |
L |
4.2790784776329 |
L(r)(E,1)/r! |
Ω |
0.89913965772395 |
Real period |
R |
1.1897702545078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24674i1 |
Quadratic twists by: 13 |