Atkin-Lehner |
3- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72471q |
Isogeny class |
Conductor |
72471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-173217389501769123 = -1 · 3 · 710 · 172 · 294 |
Discriminant |
Eigenvalues |
0 3- 0 7- 0 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-776323,263778106] |
[a1,a2,a3,a4,a6] |
j |
-183177121792000/613212627 |
j-invariant |
L |
1.2908863926407 |
L(r)(E,1)/r! |
Ω |
0.32272159919354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72471a1 |
Quadratic twists by: -7 |