Atkin-Lehner |
2- 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2622a |
Isogeny class |
Conductor |
2622 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6600 |
Modular degree for the optimal curve |
Δ |
-4238100157152 = -1 · 25 · 3 · 193 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 6 7 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2337,107199] |
[a1,a2,a3,a4,a6] |
j |
-1411599396089233/4238100157152 |
j-invariant |
L |
3.4242619614431 |
L(r)(E,1)/r! |
Ω |
0.68485239228862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20976o1 83904o1 7866h1 65550w1 |
Quadratic twists by: -4 8 -3 5 |