Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952fi |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-156701454336 = -1 · 212 · 38 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,20090] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:160:1] [-17:162:1] |
Generators of the group modulo torsion |
j |
-29791/153 |
j-invariant |
L |
10.443304575237 |
L(r)(E,1)/r! |
Ω |
0.88818159338676 |
Real period |
R |
1.4697592034398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7497g1 39984ci1 119952gn1 |
Quadratic twists by: -4 -3 -7 |