Atkin-Lehner |
3+ 5- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28365d |
Isogeny class |
Conductor |
28365 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-4041712667171835 = -1 · 315 · 5 · 314 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5- -1 4 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-60920,6566378] |
[a1,a2,a3,a4,a6] |
j |
-25004059577454923776/4041712667171835 |
j-invariant |
L |
0.8475315390772 |
L(r)(E,1)/r! |
Ω |
0.42376576953688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85095k1 |
Quadratic twists by: -3 |