Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350bi |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-11905920000000000 = -1 · 216 · 33 · 510 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,24362,-5031469] |
[a1,a2,a3,a4,a6] |
Generators |
[129:463:1] |
Generators of the group modulo torsion |
j |
163742482775/1219166208 |
j-invariant |
L |
10.290009623329 |
L(r)(E,1)/r! |
Ω |
0.19976504042295 |
Real period |
R |
3.2194101719188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999739813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103350z1 |
Quadratic twists by: 5 |