Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550dl |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1141285950 = -1 · 2 · 38 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20348,-1118898] |
[a1,a2,a3,a4,a6] |
Generators |
[2438:35447:8] |
Generators of the group modulo torsion |
j |
-37269213195184105/45651438 |
j-invariant |
L |
13.790300786955 |
L(r)(E,1)/r! |
Ω |
0.19986602892537 |
Real period |
R |
4.3123576515461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550w1 |
Quadratic twists by: 5 |