Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936n |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25673273201664 = -1 · 210 · 310 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2301,240050] |
[a1,a2,a3,a4,a6] |
Generators |
[82:990:1] |
Generators of the group modulo torsion |
j |
1804870652/34391709 |
j-invariant |
L |
8.1785784195763 |
L(r)(E,1)/r! |
Ω |
0.50009567644463 |
Real period |
R |
2.044253431096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968f3 15312c4 |
Quadratic twists by: -4 -3 |