Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20825t |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-387221232794921875 = -1 · 59 · 79 · 173 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -2 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8575,-29937469] |
[a1,a2,a3,a4,a6] |
Generators |
[182280:2186369:512] |
Generators of the group modulo torsion |
j |
110592/614125 |
j-invariant |
L |
9.6783211338948 |
L(r)(E,1)/r! |
Ω |
0.1390807825786 |
Real period |
R |
2.8994903041408 |
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 |
4165k1 20825k1 |
Quadratic twists by: 5 -7 |