Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040bt |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-64598589440 = -1 · 214 · 5 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11- 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,197,-12182] |
[a1,a2,a3,a4,a6] |
Generators |
[31:154:1] |
Generators of the group modulo torsion |
j |
206425071/15771140 |
j-invariant |
L |
4.2490979769068 |
L(r)(E,1)/r! |
Ω |
0.52529293526011 |
Real period |
R |
0.67408386760436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630m1 |
Quadratic twists by: -4 |