Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800du |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-8519680000 = -1 · 220 · 54 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-26337] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1216:1] |
Generators of the group modulo torsion |
j |
-2941225/52 |
j-invariant |
L |
3.8034608870694 |
L(r)(E,1)/r! |
Ω |
0.37509841704305 |
Real period |
R |
2.5349752986513 |
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 |
20800bm1 5200bi1 20800dd1 |
Quadratic twists by: -4 8 5 |