Atkin-Lehner |
2+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450j |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-8913301012480000 = -1 · 221 · 54 · 19 · 713 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16301,4611048] |
[a1,a2,a3,a4,a6] |
Generators |
[-415366:5424049:2744] |
Generators of the group modulo torsion |
j |
-766387015876825/14261281619968 |
j-invariant |
L |
3.8113862437641 |
L(r)(E,1)/r! |
Ω |
0.3466018403177 |
Real period |
R |
10.996439718252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67450o2 |
Quadratic twists by: 5 |