Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975v |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4400938692861328125 = -1 · 316 · 510 · 192 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-506255,-171365628] |
[a1,a2,a3,a4,a6] |
Generators |
[144457334:9869721750:29791] |
Generators of the group modulo torsion |
j |
-1259746992324001/386364988125 |
j-invariant |
L |
5.9029727076605 |
L(r)(E,1)/r! |
Ω |
0.088104536447958 |
Real period |
R |
8.374955689049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41325a2 24795f2 |
Quadratic twists by: -3 5 |