Atkin-Lehner |
2- 3+ 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214r |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4327680 |
Modular degree for the optimal curve |
Δ |
-1.3918498977779E+23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3240699,18088137993] |
[a1,a2,a3,a4,a6] |
Generators |
[3:134454:1] |
Generators of the group modulo torsion |
j |
-3763914987824792822243377/139184989777792098975744 |
j-invariant |
L |
8.285864960802 |
L(r)(E,1)/r! |
Ω |
0.08617051753279 |
Real period |
R |
3.4341646896511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642l1 |
Quadratic twists by: -3 |