Atkin-Lehner |
2+ 3+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
67344c |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.6858178821201E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2754961616,-55656292949712] |
[a1,a2,a3,a4,a6] |
Generators |
[736850836999556944193102371483094235667188632808336410:168145695305776485128428147164913001349175296319999118062:8214355595032010467366753489066566556976131268375] |
Generators of the group modulo torsion |
j |
2258241647926468475308000848196/945880652550791907 |
j-invariant |
L |
6.9189193926611 |
L(r)(E,1)/r! |
Ω |
0.020838702116718 |
Real period |
R |
83.005642024967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33672h2 |
Quadratic twists by: -4 |