Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416l |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8279040 |
Modular degree for the optimal curve |
Δ |
-8.0912597401866E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 3 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80791884,-279545025744] |
[a1,a2,a3,a4,a6] |
Generators |
[39407390750:4903910681624:1953125] |
Generators of the group modulo torsion |
j |
-90424411632287643672/12545122758259 |
j-invariant |
L |
3.6736384390936 |
L(r)(E,1)/r! |
Ω |
0.02517816123199 |
Real period |
R |
18.238218456686 |
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 |
52416x1 26208c1 52416k1 |
Quadratic twists by: -4 8 -3 |