Atkin-Lehner |
2- 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30660w |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
59603040000 = 28 · 36 · 54 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2500,-47500] |
[a1,a2,a3,a4,a6] |
j |
6752700360016/232824375 |
j-invariant |
L |
4.0594765772679 |
L(r)(E,1)/r! |
Ω |
0.67657942954528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640bi2 91980u2 |
Quadratic twists by: -4 -3 |