Atkin-Lehner |
2- 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650bt |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-7140212834304000000 = -1 · 221 · 3 · 56 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,172512,125641281] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:5493:1] |
Generators of the group modulo torsion |
j |
36338036700986567/456973621395456 |
j-invariant |
L |
9.4350785879418 |
L(r)(E,1)/r! |
Ω |
0.17425692155903 |
Real period |
R |
1.2891581365377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2706f2 |
Quadratic twists by: 5 |