Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gw |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
3155109629688576 = 28 · 311 · 72 · 175 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130431,-17928358] |
[a1,a2,a3,a4,a6] |
Generators |
[-12668:23409:64] |
Generators of the group modulo torsion |
j |
26835062456272/345025251 |
j-invariant |
L |
9.5690414665737 |
L(r)(E,1)/r! |
Ω |
0.25141555238681 |
Real period |
R |
1.9030329166588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29988bn1 39984by1 119952ds1 |
Quadratic twists by: -4 -3 -7 |