Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550dq |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
510 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-34419696353280000 = -1 · 217 · 35 · 54 · 73 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,69237,5528817] |
[a1,a2,a3,a4,a6] |
Generators |
[798:23457:1] |
Generators of the group modulo torsion |
j |
58729733262509375/55071514165248 |
j-invariant |
L |
13.943010728795 |
L(r)(E,1)/r! |
Ω |
0.24086040750021 |
Real period |
R |
0.11350656177271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550c1 |
Quadratic twists by: 5 |