Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656n |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-8671862723084365824 = -1 · 212 · 38 · 199 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 5 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541981,208767851] |
[a1,a2,a3,a4,a6] |
Generators |
[3977:246924:1] |
Generators of the group modulo torsion |
j |
-91368216064/45001899 |
j-invariant |
L |
6.9203635373658 |
L(r)(E,1)/r! |
Ω |
0.21624251614409 |
Real period |
R |
0.50004357237171 |
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 |
34656w1 69312n1 103968bw1 1824e1 |
Quadratic twists by: -4 8 -3 -19 |