Atkin-Lehner |
5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
20335h |
Isogeny class |
Conductor |
20335 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-17729336646875 = -1 · 55 · 77 · 832 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- -3 1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-49800,4298958] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-613:1] [139:207:1] |
Generators of the group modulo torsion |
j |
-116100000354304/150696875 |
j-invariant |
L |
3.4681289355294 |
L(r)(E,1)/r! |
Ω |
0.68944305316374 |
Real period |
R |
0.1257583537761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675k1 2905b1 |
Quadratic twists by: 5 -7 |