Atkin-Lehner |
2- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80300a |
Isogeny class |
Conductor |
80300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
3533200 = 24 · 52 · 112 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11+ 0 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98,397] |
[a1,a2,a3,a4,a6] |
Generators |
[3:11:1] [11:23:1] |
Generators of the group modulo torsion |
j |
262885120/8833 |
j-invariant |
L |
9.1754938669452 |
L(r)(E,1)/r! |
Ω |
2.4845007989668 |
Real period |
R |
1.8465467732638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80300g1 |
Quadratic twists by: 5 |