Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665v |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1365825476925 = -1 · 36 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 5 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,56461] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:251:1] |
Generators of the group modulo torsion |
j |
-2401/325 |
j-invariant |
L |
6.204011941013 |
L(r)(E,1)/r! |
Ω |
0.70094611149464 |
Real period |
R |
0.73757595142658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3185f1 28665br1 |
Quadratic twists by: -3 -7 |