Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74704d |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
495634818896 = 24 · 74 · 232 · 293 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -6 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7754,260615] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:700:1] |
Generators of the group modulo torsion |
j |
3222412395706368/30977176181 |
j-invariant |
L |
6.3447401601486 |
L(r)(E,1)/r! |
Ω |
0.93538736444838 |
Real period |
R |
3.3915040986326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37352a1 |
Quadratic twists by: -4 |