Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950id |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-41414467584000000 = -1 · 219 · 3 · 56 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84813,-13654383] |
[a1,a2,a3,a4,a6] |
Generators |
[578:11135:1] |
Generators of the group modulo torsion |
j |
-12589171852447/7727480832 |
j-invariant |
L |
14.369563271482 |
L(r)(E,1)/r! |
Ω |
0.13607871613231 |
Real period |
R |
0.92629328291407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998d1 124950ey1 |
Quadratic twists by: 5 -7 |