Atkin-Lehner |
2- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600u |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
79955200 = 28 · 52 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 0 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,-1180] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:217:27] |
Generators of the group modulo torsion |
j |
183997440/12493 |
j-invariant |
L |
13.477476912537 |
L(r)(E,1)/r! |
Ω |
1.2449287749587 |
Real period |
R |
2.7064754981647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600r1 |
Quadratic twists by: 5 |