Atkin-Lehner |
2- 3+ 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37758l |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-260983296 = -1 · 29 · 34 · 7 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 -2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15,783] |
[a1,a2,a3,a4,a6] |
Generators |
[7:32:1] |
Generators of the group modulo torsion |
j |
371694959/260983296 |
j-invariant |
L |
8.2877579925469 |
L(r)(E,1)/r! |
Ω |
1.3620948512737 |
Real period |
R |
0.33803152486431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274t1 |
Quadratic twists by: -3 |