Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
114996w |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
357407568 = 24 · 32 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197,492] |
[a1,a2,a3,a4,a6] |
Generators |
[19:63:1] |
Generators of the group modulo torsion |
j |
1048576/441 |
j-invariant |
L |
10.80209777147 |
L(r)(E,1)/r! |
Ω |
1.5381229947336 |
Real period |
R |
1.1704848239487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114996x1 |
Quadratic twists by: 37 |