Atkin-Lehner |
2+ 3- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
76368c |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-5168526844542400512 = -1 · 211 · 39 · 375 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 3 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,320552,84276404] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-11988:1] |
Generators of the group modulo torsion |
j |
1778639273850172750/2523694748311719 |
j-invariant |
L |
8.5434311098943 |
L(r)(E,1)/r! |
Ω |
0.16388021707656 |
Real period |
R |
0.14481157947083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38184b1 |
Quadratic twists by: -4 |