Atkin-Lehner |
5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
73255q |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
301643212325 = 52 · 79 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 2 5- 7- -1 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4230,-101144] |
[a1,a2,a3,a4,a6] |
j |
207474688/7475 |
j-invariant |
L |
2.3731592296784 |
L(r)(E,1)/r! |
Ω |
0.59328982721857 |
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 |
73255e1 |
Quadratic twists by: -7 |