Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41745h |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-1145978521875 = -1 · 32 · 55 · 116 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 11- 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-88491,10161722] |
[a1,a2,a3,a4,a6] |
Generators |
[180:181:1] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
2.6794667305577 |
L(r)(E,1)/r! |
Ω |
0.79379481816435 |
Real period |
R |
0.84387888067666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235bi1 345a1 |
Quadratic twists by: -3 -11 |