Atkin-Lehner |
3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53391b |
Isogeny class |
Conductor |
53391 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.7034209002383E+23 |
Discriminant |
Eigenvalues |
-1 3+ -2 2 4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20554879,25697477282] |
[a1,a2,a3,a4,a6] |
Generators |
[-68332702:12225779063:54872] |
Generators of the group modulo torsion |
j |
374333024086048873/105366686438403 |
j-invariant |
L |
2.8976284670421 |
L(r)(E,1)/r! |
Ω |
0.091205422870009 |
Real period |
R |
15.885176429563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1443d2 |
Quadratic twists by: 37 |