Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920er |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-2.0893139974619E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123763893,450316685306] |
[a1,a2,a3,a4,a6] |
Generators |
[60037:14976000:1] |
Generators of the group modulo torsion |
j |
70213095586874240921591/69970703040000000000 |
j-invariant |
L |
7.8293181817172 |
L(r)(E,1)/r! |
Ω |
0.037061136722846 |
Real period |
R |
2.6406766151236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bv2 38640bq2 |
Quadratic twists by: -4 -3 |