Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bq |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
7133863559680000 = 212 · 54 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-469843,-123892142] |
[a1,a2,a3,a4,a6] |
Generators |
[-391:200:1] |
Generators of the group modulo torsion |
j |
13064132169/8125 |
j-invariant |
L |
2.7651366748567 |
L(r)(E,1)/r! |
Ω |
0.18235915743637 |
Real period |
R |
1.8953920225021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997720758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7865a1 125840cb1 |
Quadratic twists by: -4 -11 |