Atkin-Lehner |
2- 3- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214bd |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-2337963264 = -1 · 28 · 35 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,329,-343] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-91:1] |
Generators of the group modulo torsion |
j |
3937575558671/2337963264 |
j-invariant |
L |
9.7499061477879 |
L(r)(E,1)/r! |
Ω |
0.85078626028962 |
Real period |
R |
0.14324846619627 |
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 |
96642w1 |
Quadratic twists by: -3 |