Atkin-Lehner |
2+ 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770o |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16074240 |
Modular degree for the optimal curve |
Δ |
-3.4437179170968E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-327155637,2277477350829] |
[a1,a2,a3,a4,a6] |
Generators |
[10443:-6549:1] |
Generators of the group modulo torsion |
j |
-1762612641186222996390586933/1567463776557465600 |
j-invariant |
L |
2.1784819921557 |
L(r)(E,1)/r! |
Ω |
0.1177447030461 |
Real period |
R |
4.6254352336606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55770ca1 |
Quadratic twists by: 13 |