Atkin-Lehner |
2+ 3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458l |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-571209408 = -1 · 26 · 37 · 7 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-477,4293] |
[a1,a2,a3,a4,a6] |
Generators |
[18:27:1] |
Generators of the group modulo torsion |
j |
-16484028625/783552 |
j-invariant |
L |
4.522174967139 |
L(r)(E,1)/r! |
Ω |
1.6193497620618 |
Real period |
R |
0.69814673043399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24486p1 |
Quadratic twists by: -3 |