Atkin-Lehner |
2- 3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942bd |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-34220391408 = -1 · 24 · 39 · 7 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-515,10099] |
[a1,a2,a3,a4,a6] |
j |
-766060875/1738576 |
j-invariant |
L |
4.1275450548295 |
L(r)(E,1)/r! |
Ω |
1.0318862443254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942e1 |
Quadratic twists by: -3 |