Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bf |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
3.7638950012166E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-622123340,-5192063311921] |
[a1,a2,a3,a4,a6] |
Generators |
[993886023699:-49498264133869:33698267] |
Generators of the group modulo torsion |
j |
310482715326109381707625/43885568769241514112 |
j-invariant |
L |
9.7311718449435 |
L(r)(E,1)/r! |
Ω |
0.030513782391245 |
Real period |
R |
11.389668023837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226m2 9954j2 |
Quadratic twists by: -3 -7 |