Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950cp |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-14364000 = -1 · 25 · 33 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22,-169] |
[a1,a2,a3,a4,a6] |
Generators |
[5:7:1] |
Generators of the group modulo torsion |
j |
9393931/114912 |
j-invariant |
L |
7.0673743576856 |
L(r)(E,1)/r! |
Ω |
1.0922958387767 |
Real period |
R |
0.64702016677098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850dn1 19950bh1 |
Quadratic twists by: -3 5 |