Atkin-Lehner |
2+ 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122a |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-412628390203392 = -1 · 212 · 36 · 113 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 11+ 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1116370,453540916] |
[a1,a2,a3,a4,a6] |
Generators |
[820:9094:1] |
Generators of the group modulo torsion |
j |
-115603434342732237875/310013816832 |
j-invariant |
L |
3.9898635909619 |
L(r)(E,1)/r! |
Ω |
0.46136498685407 |
Real period |
R |
1.0809943603892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366bd1 34122m1 |
Quadratic twists by: -3 -11 |