Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480u |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-35030440460943360 = -1 · 242 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44037,8272682] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1962:1] |
Generators of the group modulo torsion |
j |
85399076758653/316753838080 |
j-invariant |
L |
5.4310747303631 |
L(r)(E,1)/r! |
Ω |
0.26106336223947 |
Real period |
R |
5.2009162486247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5310i1 42480w2 |
Quadratic twists by: -4 -3 |