Atkin-Lehner |
2+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63206a |
Isogeny class |
Conductor |
63206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-105346170355712 = -1 · 220 · 112 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ -1 2 3 11+ 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24404,-1558448] |
[a1,a2,a3,a4,a6] |
Generators |
[69048:417572:343] |
Generators of the group modulo torsion |
j |
-9511474819145377/623350120448 |
j-invariant |
L |
4.6472259857727 |
L(r)(E,1)/r! |
Ω |
0.19026591099001 |
Real period |
R |
6.1062251790311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63206k1 |
Quadratic twists by: 13 |