Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920bw |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-31672620000000 = -1 · 28 · 35 · 57 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30485,2056383] |
[a1,a2,a3,a4,a6] |
Generators |
[91:210:1] |
Generators of the group modulo torsion |
j |
-12239300309549056/123721171875 |
j-invariant |
L |
7.7489084217689 |
L(r)(E,1)/r! |
Ω |
0.66144789003316 |
Real period |
R |
0.05578604825746 |
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 |
7980b1 127680ea1 95760dk1 |
Quadratic twists by: -4 8 -3 |