Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600cj |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-823661568000000000 = -1 · 219 · 33 · 59 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,224325,-15305750] |
[a1,a2,a3,a4,a6] |
j |
722458663317/476656000 |
j-invariant |
L |
2.5730275215241 |
L(r)(E,1)/r! |
Ω |
0.16081421640227 |
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 |
13950bx1 111600ck2 22320z1 |
Quadratic twists by: -4 -3 5 |