Atkin-Lehner |
2+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8030d |
Isogeny class |
Conductor |
8030 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-4847185909434880 = -1 · 29 · 5 · 1110 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,34090,2304756] |
[a1,a2,a3,a4,a6] |
Generators |
[227:4545:1] |
Generators of the group modulo torsion |
j |
4381245101504748231/4847185909434880 |
j-invariant |
L |
2.5261997149591 |
L(r)(E,1)/r! |
Ω |
0.28771299450249 |
Real period |
R |
0.87802767453289 |
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 |
64240k1 72270bj1 40150v1 88330t1 |
Quadratic twists by: -4 -3 5 -11 |