Atkin-Lehner |
2+ 3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214g |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1683968 |
Modular degree for the optimal curve |
Δ |
-1.6650548093535E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 5 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-110077,1963239937] |
[a1,a2,a3,a4,a6] |
j |
-147509377948841814361/1665054809353469934036 |
j-invariant |
L |
1.9157149321036 |
L(r)(E,1)/r! |
Ω |
0.11973218325617 |
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 |
96642cf1 |
Quadratic twists by: -3 |