Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810df |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-48744162180 = -1 · 22 · 39 · 5 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,154,-10584] |
[a1,a2,a3,a4,a6] |
Generators |
[28:112:1] |
Generators of the group modulo torsion |
j |
1118413511/135025380 |
j-invariant |
L |
12.459347915159 |
L(r)(E,1)/r! |
Ω |
0.53495424506402 |
Real period |
R |
0.43130541951603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810h1 |
Quadratic twists by: -19 |