Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bt |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-239487890625000000 = -1 · 26 · 36 · 514 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224283,47178268] |
[a1,a2,a3,a4,a6] |
Generators |
[2514:22243:8] |
Generators of the group modulo torsion |
j |
-26742701668677184/5133056640625 |
j-invariant |
L |
3.4108118057769 |
L(r)(E,1)/r! |
Ω |
0.30017202702341 |
Real period |
R |
5.6814284760057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520bl1 41760o2 9280g1 |
Quadratic twists by: -4 8 -3 |