Atkin-Lehner |
2- 3+ 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950bl |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1605825000000 = -1 · 26 · 34 · 58 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,487,61031] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:232:1] |
Generators of the group modulo torsion |
j |
32696015/4110912 |
j-invariant |
L |
7.2873164594748 |
L(r)(E,1)/r! |
Ω |
0.64892664358694 |
Real period |
R |
0.3119388932655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999109118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950v1 |
Quadratic twists by: 5 |