Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512w |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-1574585568187121664 = -1 · 222 · 319 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-666363,217900586] |
[a1,a2,a3,a4,a6] |
j |
-10958947844677561/527325520896 |
j-invariant |
L |
1.0583204653524 |
L(r)(E,1)/r! |
Ω |
0.26458011631113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5814o1 15504p1 |
Quadratic twists by: -4 -3 |