Atkin-Lehner |
2- 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111300u |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2243808000 = -1 · 28 · 33 · 53 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,147,2223] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] [-3:42:1] |
Generators of the group modulo torsion |
j |
10903552/70119 |
j-invariant |
L |
13.372471290268 |
L(r)(E,1)/r! |
Ω |
1.0588121147864 |
Real period |
R |
0.35082478812887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111300j1 |
Quadratic twists by: 5 |