Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350cd |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-145055836800 = -1 · 27 · 39 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,882,-15228] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-270:1] |
Generators of the group modulo torsion |
j |
3034999917815/5802233472 |
j-invariant |
L |
11.757199698747 |
L(r)(E,1)/r! |
Ω |
0.53901708189679 |
Real period |
R |
0.1731134538296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350p1 |
Quadratic twists by: 5 |