Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550ba |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-42541433786250 = -1 · 2 · 39 · 54 · 73 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6025,259575] |
[a1,a2,a3,a4,a6] |
Generators |
[39:726:1] |
Generators of the group modulo torsion |
j |
38690310531575/68066294058 |
j-invariant |
L |
3.6366486875507 |
L(r)(E,1)/r! |
Ω |
0.44060735702184 |
Real period |
R |
1.3756195963965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550dc1 |
Quadratic twists by: 5 |