Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bk |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1600464096000 = -1 · 28 · 310 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4268,-121968] |
[a1,a2,a3,a4,a6] |
Generators |
[1408:52756:1] |
Generators of the group modulo torsion |
j |
-268750151696/50014503 |
j-invariant |
L |
6.2974334567711 |
L(r)(E,1)/r! |
Ω |
0.29237688778442 |
Real period |
R |
5.3846881569771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200db2 92400cr2 |
Quadratic twists by: -4 5 |