Atkin-Lehner |
3+ 5+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
125925l |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
801792 |
Modular degree for the optimal curve |
Δ |
260452959890625 = 34 · 56 · 232 · 733 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-200888,34563656] |
[a1,a2,a3,a4,a6] |
Generators |
[246:205:1] |
Generators of the group modulo torsion |
j |
57380695289277625/16668989433 |
j-invariant |
L |
1.8585348562362 |
L(r)(E,1)/r! |
Ω |
0.54021563858613 |
Real period |
R |
0.57339284887576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000818598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037g1 |
Quadratic twists by: 5 |