Atkin-Lehner |
5- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785j |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-1122923046875 = -1 · 58 · 73 · 172 · 29 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -2 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,145,50931] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:-213:1] [5:227:1] |
Generators of the group modulo torsion |
j |
976191488/3273828125 |
j-invariant |
L |
8.2636826158715 |
L(r)(E,1)/r! |
Ω |
0.6833526630628 |
Real period |
R |
0.37790162479214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120785c1 |
Quadratic twists by: -7 |