Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640a |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-671658803200 = -1 · 218 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2348,58928] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:320:1] |
Generators of the group modulo torsion |
j |
-5461074081/2562175 |
j-invariant |
L |
4.7115057893131 |
L(r)(E,1)/r! |
Ω |
0.84763702779687 |
Real period |
R |
1.3896000395237 |
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 |
24640bo1 385a1 123200bl1 |
Quadratic twists by: -4 8 5 |