Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cv |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
272482901747814240 = 25 · 34 · 5 · 714 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104995731,-414109078335] |
[a1,a2,a3,a4,a6] |
Generators |
[-5916:2985:1] |
Generators of the group modulo torsion |
j |
1088053867292412065179681/2316066449760 |
j-invariant |
L |
10.558221046271 |
L(r)(E,1)/r! |
Ω |
0.047163567085991 |
Real period |
R |
2.7982990098591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510p4 |
Quadratic twists by: -7 |