Atkin-Lehner |
2- 3+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
80592r |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
502048186368 = 213 · 3 · 234 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37552,2813248] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:2346:1] [21:1426:1] |
Generators of the group modulo torsion |
j |
1429797541657393/122570358 |
j-invariant |
L |
10.048880532737 |
L(r)(E,1)/r! |
Ω |
0.88818810022585 |
Real period |
R |
5.6569551711827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074r3 |
Quadratic twists by: -4 |