Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010a |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-7631615653198251750 = -1 · 2 · 33 · 53 · 711 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,30502,-132884142] |
[a1,a2,a3,a4,a6] |
j |
26674615918439/64867662735750 |
j-invariant |
L |
0.435192615637 |
L(r)(E,1)/r! |
Ω |
0.10879802993056 |
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 |
17430r1 |
Quadratic twists by: -7 |