Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970br |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1844642114961408000 = -1 · 228 · 310 · 53 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-420548,123753831] |
[a1,a2,a3,a4,a6] |
Generators |
[101:9021:1] |
Generators of the group modulo torsion |
j |
-11283450590382195961/2530373271552000 |
j-invariant |
L |
6.6461334017825 |
L(r)(E,1)/r! |
Ω |
0.25209695387514 |
Real period |
R |
0.4707750402333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760eb1 3990g1 59850cd1 83790fr1 |
Quadratic twists by: -4 -3 5 -7 |