Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bm |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
317520 |
Modular degree for the optimal curve |
Δ |
-139616274218750 = -1 · 2 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 3 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52701,4686798] |
[a1,a2,a3,a4,a6] |
Generators |
[-193446:140993:729] |
Generators of the group modulo torsion |
j |
-7188265/62 |
j-invariant |
L |
6.0708395173396 |
L(r)(E,1)/r! |
Ω |
0.58480270407237 |
Real period |
R |
10.381004526887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75950ca1 75950bo1 |
Quadratic twists by: 5 -7 |