Atkin-Lehner |
3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775t |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
11938798828125 = 37 · 510 · 13 · 43 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 -3 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7500,-186719] |
[a1,a2,a3,a4,a6] |
Generators |
[-542:813:8] |
Generators of the group modulo torsion |
j |
6553600/1677 |
j-invariant |
L |
6.0659920282098 |
L(r)(E,1)/r! |
Ω |
0.52270647758416 |
Real period |
R |
5.8024842068646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999779416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41925b1 125775bh1 |
Quadratic twists by: -3 5 |