Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160bd |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-2278195200000 = -1 · 218 · 33 · 55 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 6 -6 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43347,-3474414] |
[a1,a2,a3,a4,a6] |
j |
-81447383542923/20600000 |
j-invariant |
L |
3.3086681196413 |
L(r)(E,1)/r! |
Ω |
0.16543340476934 |
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 |
9270b1 74160x1 |
Quadratic twists by: -4 -3 |