Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620d |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
106089984 |
Modular degree for the optimal curve |
Δ |
-1.6894679785543E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1191970341,-64510848475695] |
[a1,a2,a3,a4,a6] |
Generators |
[39355639216567370836093227058190139728:10629501819861978657786478664974156837805:422393435556527603975021203768291] |
Generators of the group modulo torsion |
j |
-6218589009063615570313216/56094690913037211867075 |
j-invariant |
L |
2.7430747067008 |
L(r)(E,1)/r! |
Ω |
0.011244535761948 |
Real period |
R |
60.986837624357 |
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 |
9660f1 |
Quadratic twists by: -7 |