Atkin-Lehner |
2+ 3+ 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882b |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5494498364888694 = 2 · 39 · 72 · 192 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44133,137735] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:1837:1] |
Generators of the group modulo torsion |
j |
482979064056579/279149436818 |
j-invariant |
L |
4.1327311696218 |
L(r)(E,1)/r! |
Ω |
0.36353722949735 |
Real period |
R |
1.4210137032051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000221873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882y2 |
Quadratic twists by: -3 |