Atkin-Lehner |
2+ 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20178d |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.6184687714626E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1005075,-433199777] |
[a1,a2,a3,a4,a6] |
Generators |
[28829:4877423:1] |
Generators of the group modulo torsion |
j |
-154025220294544561201/22201217715536658 |
j-invariant |
L |
5.1992222946974 |
L(r)(E,1)/r! |
Ω |
0.07479389590496 |
Real period |
R |
5.7928326812748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726d2 |
Quadratic twists by: -3 |