Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cg |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4672512 |
Modular degree for the optimal curve |
Δ |
-5108957817876045315 = -1 · 32 · 5 · 77 · 1310 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -3 13+ -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-466496,-164064169] |
[a1,a2,a3,a4,a6] |
Generators |
[52761473461972:1427139846260131:43169672512] |
Generators of the group modulo torsion |
j |
-692224/315 |
j-invariant |
L |
14.83529191489 |
L(r)(E,1)/r! |
Ω |
0.089377103497605 |
Real period |
R |
20.748171699376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745l1 124215dc1 |
Quadratic twists by: -7 13 |