Atkin-Lehner |
2- 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30940d |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2361157093750000 = -1 · 24 · 59 · 7 · 133 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41046,3950005] |
[a1,a2,a3,a4,a6] |
j |
-477998828834462464/147572318359375 |
j-invariant |
L |
1.3049832935101 |
L(r)(E,1)/r! |
Ω |
0.43499443117031 |
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 |
123760t2 |
Quadratic twists by: -4 |