Atkin-Lehner |
2+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27650i |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-309680000 = -1 · 27 · 54 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -6 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71692,7406416] |
[a1,a2,a3,a4,a6] |
Generators |
[155:-81:1] |
Generators of the group modulo torsion |
j |
-65201740749261225/495488 |
j-invariant |
L |
1.472016669868 |
L(r)(E,1)/r! |
Ω |
1.1888908271822 |
Real period |
R |
0.61907142195594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27650q1 |
Quadratic twists by: 5 |