Atkin-Lehner |
2+ 3+ 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370b |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5022780373440000 = 29 · 39 · 54 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61170,4735700] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:3040:1] |
Generators of the group modulo torsion |
j |
1286032235748723/255183680000 |
j-invariant |
L |
3.9223647622347 |
L(r)(E,1)/r! |
Ω |
0.40923248487961 |
Real period |
R |
2.3961714363182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370bf2 |
Quadratic twists by: -3 |