Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gh |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-43016795269410816 = -1 · 212 · 37 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37632,10366832] |
[a1,a2,a3,a4,a6] |
Generators |
[5761:437031:1] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
6.9889200508424 |
L(r)(E,1)/r! |
Ω |
0.31008067645264 |
Real period |
R |
5.6347593696366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7497l1 39984bp1 17136w1 |
Quadratic twists by: -4 -3 -7 |