Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550ds |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
187866000 = 24 · 33 · 53 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-153,297] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:27:1] |
Generators of the group modulo torsion |
j |
3170044709/1502928 |
j-invariant |
L |
13.59886435773 |
L(r)(E,1)/r! |
Ω |
1.6013991973963 |
Real period |
R |
0.70765534180417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74550u1 |
Quadratic twists by: 5 |