Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408ce |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.9034570631927E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3237393,2087846865] |
[a1,a2,a3,a4,a6] |
Generators |
[7452848:381362747:2197] |
Generators of the group modulo torsion |
j |
229028841865443058000/17721295551713403 |
j-invariant |
L |
3.974504447429 |
L(r)(E,1)/r! |
Ω |
0.16931995290229 |
Real period |
R |
11.736668890018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408x2 14352bh2 |
Quadratic twists by: -4 8 |