Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320t |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3115008 |
Modular degree for the optimal curve |
Δ |
-3.4268197427918E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-693292,-917939664] |
[a1,a2,a3,a4,a6] |
Generators |
[127641152450:15741210329088:8365427] |
Generators of the group modulo torsion |
j |
-140582854299130209/1307227990261760 |
j-invariant |
L |
4.8615990175244 |
L(r)(E,1)/r! |
Ω |
0.072284437043307 |
Real period |
R |
11.209418453523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96320bv1 3010d1 |
Quadratic twists by: -4 8 |