Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056o |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-5066492994579456 = -1 · 210 · 321 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11+ 4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2605827,-1619076818] |
[a1,a2,a3,a4,a6] |
Generators |
[139580823203:-10145980421064:24137569] |
Generators of the group modulo torsion |
j |
-2621398014591962116/6787033011 |
j-invariant |
L |
6.600466916798 |
L(r)(E,1)/r! |
Ω |
0.059413220860968 |
Real period |
R |
13.886780629693 |
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 |
68112s1 11352e1 |
Quadratic twists by: -4 -3 |