Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1430k |
Isogeny class |
Conductor |
1430 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-5758438400000 = -1 · 213 · 55 · 113 · 132 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11- 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3057,133281] |
[a1,a2,a3,a4,a6] |
Generators |
[591:-14596:1] |
Generators of the group modulo torsion |
j |
-3158470573163361/5758438400000 |
j-invariant |
L |
2.5745409112998 |
L(r)(E,1)/r! |
Ω |
0.67776978196517 |
Real period |
R |
0.0097398661429109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11440p1 45760b1 12870l1 7150j1 |
Quadratic twists by: -4 8 -3 5 |