Atkin-Lehner |
2+ 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640w |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
76889334535440 = 24 · 3 · 5 · 77 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28040,-1766685] |
[a1,a2,a3,a4,a6] |
j |
152388868941711616/4805583408465 |
j-invariant |
L |
2.5875595206098 |
L(r)(E,1)/r! |
Ω |
0.36965144124946 |
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 |
61320g1 |
Quadratic twists by: -4 |