Atkin-Lehner |
2- 3+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bg |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
1248 |
Product of Tamagawa factors cp |
Δ |
994910131584000000 = 213 · 33 · 56 · 194 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-263627,-20214821] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:2906:1] |
Generators of the group modulo torsion |
j |
75046089354668785683/36848523392000000 |
j-invariant |
L |
10.591079973217 |
L(r)(E,1)/r! |
Ω |
0.22148669553562 |
Real period |
R |
0.1532632425206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370a2 |
Quadratic twists by: -3 |