Atkin-Lehner |
3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665k |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
433440 |
Modular degree for the optimal curve |
Δ |
-4609660984621875 = -1 · 39 · 55 · 78 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 4 13- -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-435267,110578655] |
[a1,a2,a3,a4,a6] |
Generators |
[3234:6611:8] |
Generators of the group modulo torsion |
j |
-80373952512/40625 |
j-invariant |
L |
12.089681877575 |
L(r)(E,1)/r! |
Ω |
0.4288757207959 |
Real period |
R |
0.93964143078866 |
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 |
28665b1 28665g1 |
Quadratic twists by: -3 -7 |