Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ch |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-15021424320 = -1 · 26 · 3 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,219,-5691] |
[a1,a2,a3,a4,a6] |
Generators |
[4455500:9623061:300763] |
Generators of the group modulo torsion |
j |
18067226624/234709755 |
j-invariant |
L |
7.2047942626936 |
L(r)(E,1)/r! |
Ω |
0.61112531537402 |
Real period |
R |
11.789389192165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680dw1 1995b1 |
Quadratic twists by: -4 8 |