Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18620f |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-11654121701600000 = -1 · 28 · 55 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -5 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-215861,-39021865] |
[a1,a2,a3,a4,a6] |
j |
-107677745152/1128125 |
j-invariant |
L |
1.3281156102391 |
L(r)(E,1)/r! |
Ω |
0.11067630085326 |
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 |
74480bi1 93100x1 18620k1 |
Quadratic twists by: -4 5 -7 |