Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665o |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
11743208465625 = 33 · 55 · 77 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67629,-6750472] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:94:1] |
Generators of the group modulo torsion |
j |
10768971245787/3696875 |
j-invariant |
L |
7.3590857352182 |
L(r)(E,1)/r! |
Ω |
0.29605674467192 |
Real period |
R |
2.4857010919894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28665f1 4095b1 |
Quadratic twists by: -3 -7 |