Atkin-Lehner |
2+ 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72080a |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12253600000000 = 211 · 58 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5803,-24198] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:102:1] [-6:102:1] |
Generators of the group modulo torsion |
j |
10552405497858/5983203125 |
j-invariant |
L |
8.2697449872297 |
L(r)(E,1)/r! |
Ω |
0.5903391960511 |
Real period |
R |
7.0042316709901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36040b2 |
Quadratic twists by: -4 |