Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600bt |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5115840000000000 = -1 · 215 · 3 · 510 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35992,-2233488] |
[a1,a2,a3,a4,a6] |
Generators |
[58:214:1] |
Generators of the group modulo torsion |
j |
80565593759/79935000 |
j-invariant |
L |
4.386610596911 |
L(r)(E,1)/r! |
Ω |
0.2346198937696 |
Real period |
R |
4.6741673604456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950o2 17520x2 |
Quadratic twists by: -4 5 |