Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bj |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-339830636544000 = -1 · 221 · 33 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1036705,-405940703] |
[a1,a2,a3,a4,a6] |
Generators |
[2297:96576:1] |
Generators of the group modulo torsion |
j |
-470056203380406889/1296351000 |
j-invariant |
L |
4.8187470922219 |
L(r)(E,1)/r! |
Ω |
0.074809310842374 |
Real period |
R |
5.3678110443832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000316832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680ga2 3990n2 |
Quadratic twists by: -4 8 |