Atkin-Lehner |
2+ 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160s |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-3754350000 = -1 · 24 · 36 · 55 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2622,-51761] |
[a1,a2,a3,a4,a6] |
j |
-170912671744/321875 |
j-invariant |
L |
1.6677555060323 |
L(r)(E,1)/r! |
Ω |
0.33355109590987 |
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 |
37080f1 8240b1 |
Quadratic twists by: -4 -3 |