Atkin-Lehner |
3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975v |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-230480859375 = -1 · 33 · 58 · 13 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1526,-32677] |
[a1,a2,a3,a4,a6] |
j |
-25128011089/14750775 |
j-invariant |
L |
2.2315720336858 |
L(r)(E,1)/r! |
Ω |
0.37192867228626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119925bf1 7995a1 |
Quadratic twists by: -3 5 |