Atkin-Lehner |
2+ 5- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970q |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0977484927622E+21 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1701597,1345942238] |
[a1,a2,a3,a4,a6] |
Generators |
[-598:11005:1] |
Generators of the group modulo torsion |
j |
4631332616176494311/9330708231792640 |
j-invariant |
L |
3.3686790448036 |
L(r)(E,1)/r! |
Ω |
0.10708140860233 |
Real period |
R |
3.9323808633977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999966443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710b2 |
Quadratic twists by: -7 |