Atkin-Lehner |
2+ 3- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526i |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
236236148047872 = 220 · 36 · 73 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21348,-940464] |
[a1,a2,a3,a4,a6] |
Generators |
[232:2444:1] |
Generators of the group modulo torsion |
j |
1475975706633793/324055072768 |
j-invariant |
L |
1.8274959748098 |
L(r)(E,1)/r! |
Ω |
0.40114241971133 |
Real period |
R |
2.2778643403562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997169928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12614g1 |
Quadratic twists by: -3 |