Atkin-Lehner |
3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727o |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.2565340637873E+24 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26979764,-890295442] |
[a1,a2,a3,a4,a6] |
Generators |
[-6185453997796961827101372:-235270093029074296012915115:1379072497605081332032] |
Generators of the group modulo torsion |
j |
63327012793433857/36637441034769 |
j-invariant |
L |
5.36057257905 |
L(r)(E,1)/r! |
Ω |
0.072605108627228 |
Real period |
R |
36.915946268166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002417 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24909m4 3933a3 |
Quadratic twists by: -3 -19 |