Atkin-Lehner |
2- 5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650bb |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-108325831250000000 = -1 · 27 · 511 · 73 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-372313,-88893383] |
[a1,a2,a3,a4,a6] |
Generators |
[3762:225619:1] |
Generators of the group modulo torsion |
j |
-365282074898725321/6932853200000 |
j-invariant |
L |
12.302762279389 |
L(r)(E,1)/r! |
Ω |
0.096528104716214 |
Real period |
R |
0.50576446474725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20930f1 |
Quadratic twists by: 5 |