Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540i |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-25526538828000000 = -1 · 28 · 33 · 56 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29139,-7454439] |
[a1,a2,a3,a4,a6] |
j |
90845732864/847546875 |
j-invariant |
L |
2.2363091327498 |
L(r)(E,1)/r! |
Ω |
0.18635908859782 |
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 |
17220m1 |
Quadratic twists by: -7 |