Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960x |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-218419200 = -1 · 212 · 33 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1720,26900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:30:1] |
Generators of the group modulo torsion |
j |
-137467988281/53325 |
j-invariant |
L |
7.0556772652373 |
L(r)(E,1)/r! |
Ω |
1.7417054940325 |
Real period |
R |
0.33758468779653 |
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 |
1185b1 75840bq1 56880bh1 94800bo1 |
Quadratic twists by: -4 8 -3 5 |