Atkin-Lehner |
3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28749f |
Isogeny class |
Conductor |
28749 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
161479123003233 = 35 · 7 · 377 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1795472,-926160273] |
[a1,a2,a3,a4,a6] |
j |
249487788397177/62937 |
j-invariant |
L |
2.6084642952392 |
L(r)(E,1)/r! |
Ω |
0.13042321476198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86247e1 777e1 |
Quadratic twists by: -3 37 |