Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104s |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-40405580488944 = -1 · 24 · 36 · 112 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11+ 0 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-440751,-112626263] |
[a1,a2,a3,a4,a6] |
Generators |
[1968:81499:1] |
Generators of the group modulo torsion |
j |
-811813221498166528/3464127271 |
j-invariant |
L |
7.071736852186 |
L(r)(E,1)/r! |
Ω |
0.092644815601667 |
Real period |
R |
3.816585313639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24552u1 5456e1 |
Quadratic twists by: -4 -3 |