Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416q |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-80510976 = -1 · 215 · 33 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,432] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] [-3:21:1] |
Generators of the group modulo torsion |
j |
-216/91 |
j-invariant |
L |
10.206124439847 |
L(r)(E,1)/r! |
Ω |
1.5630513871109 |
Real period |
R |
0.8162019275254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416c1 26208d1 52416r1 |
Quadratic twists by: -4 8 -3 |