Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810ca |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
219348729810 = 2 · 311 · 5 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1651,-13297] |
[a1,a2,a3,a4,a6] |
Generators |
[-2807050:15633377:125000] |
Generators of the group modulo torsion |
j |
1378713952009/607614210 |
j-invariant |
L |
9.0363762864462 |
L(r)(E,1)/r! |
Ω |
0.78001023006957 |
Real period |
R |
11.584945862018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810bf1 |
Quadratic twists by: -19 |