Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cn |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
1632960 |
Modular degree for the optimal curve |
Δ |
-6529728515625000000 = -1 · 26 · 33 · 515 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56200,123027017] |
[a1,a2,a3,a4,a6] |
Generators |
[2287:-110519:1] |
Generators of the group modulo torsion |
j |
-54378339261278041/18087890625000000 |
j-invariant |
L |
10.231966021818 |
L(r)(E,1)/r! |
Ω |
0.19303409209123 |
Real period |
R |
0.19631853647352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810br1 |
Quadratic twists by: -19 |