Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920ek |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-4.8590766E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16128867,25156376674] |
[a1,a2,a3,a4,a6] |
Generators |
[983:101250:1] |
Generators of the group modulo torsion |
j |
-155398856216042825569/1627294921875000 |
j-invariant |
L |
7.7865913735726 |
L(r)(E,1)/r! |
Ω |
0.13749410989804 |
Real period |
R |
1.0112889544581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490w2 38640cj2 |
Quadratic twists by: -4 -3 |