Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cp |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-869958349249567424 = -1 · 26 · 78 · 119 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,86371,-43827629] |
[a1,a2,a3,a4,a6] |
Generators |
[2009534499810:-77501377056103:1386195875] |
Generators of the group modulo torsion |
j |
9463555063808/115539436859 |
j-invariant |
L |
5.3854247347007 |
L(r)(E,1)/r! |
Ω |
0.13798787591741 |
Real period |
R |
19.51412288542 |
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 |
34496bi3 8624bb3 4928t3 |
Quadratic twists by: -4 8 -7 |