Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104880cu |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-16266441362227200 = -1 · 214 · 314 · 52 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45864,4848660] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-2736:1] |
Generators of the group modulo torsion |
j |
2604774197916071/3971299160700 |
j-invariant |
L |
9.3006236748647 |
L(r)(E,1)/r! |
Ω |
0.26611126575036 |
Real period |
R |
0.62410948660446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110a1 |
Quadratic twists by: -4 |