Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850er |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-871753007812500 = -1 · 22 · 36 · 510 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 0 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21445,-751553] |
[a1,a2,a3,a4,a6] |
j |
153212175/122452 |
j-invariant |
L |
3.3288104038783 |
L(r)(E,1)/r! |
Ω |
0.27740091140844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650e1 113850cw1 |
Quadratic twists by: -3 5 |