Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
104580h |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-365946336000 = -1 · 28 · 39 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,648,28404] |
[a1,a2,a3,a4,a6] |
Generators |
[93:945:1] |
Generators of the group modulo torsion |
j |
5971968/72625 |
j-invariant |
L |
8.6259986692589 |
L(r)(E,1)/r! |
Ω |
0.70525954375998 |
Real period |
R |
2.0384927223809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104580d1 |
Quadratic twists by: -3 |