Atkin-Lehner |
2- 3- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582ba |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
50938370948544768 = 28 · 312 · 132 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 6 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-227588,-40297561] |
[a1,a2,a3,a4,a6] |
j |
1788308632006961401/69874308571392 |
j-invariant |
L |
7.011430760488 |
L(r)(E,1)/r! |
Ω |
0.21910721202323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194n1 |
Quadratic twists by: -3 |