Atkin-Lehner |
2- 3+ 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526v |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1959288016896 = -1 · 212 · 33 · 7 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,376,-67381] |
[a1,a2,a3,a4,a6] |
j |
218275947261/72566222848 |
j-invariant |
L |
3.1171047521603 |
L(r)(E,1)/r! |
Ω |
0.38963811459096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113526d2 |
Quadratic twists by: -3 |