Atkin-Lehner |
2+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264a |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2744385536 = -1 · 218 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ -1 1 2 3 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-705,7873] |
[a1,a2,a3,a4,a6] |
Generators |
[3:76:1] |
Generators of the group modulo torsion |
j |
-148035889/10469 |
j-invariant |
L |
5.9330174987819 |
L(r)(E,1)/r! |
Ω |
1.4107558045509 |
Real period |
R |
1.0513898790357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35264bb1 551b1 |
Quadratic twists by: -4 8 |