Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320bl |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-2649004289089551360 = -1 · 210 · 311 · 5 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,323133,33666734] |
[a1,a2,a3,a4,a6] |
Generators |
[22752340:1335339819:140608] |
Generators of the group modulo torsion |
j |
4998505394665724/3548584706535 |
j-invariant |
L |
7.9012242547863 |
L(r)(E,1)/r! |
Ω |
0.16240049285086 |
Real period |
R |
12.163177764484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440d1 |
Quadratic twists by: -3 |