Atkin-Lehner |
2- 3+ 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294p |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
541440 |
Modular degree for the optimal curve |
Δ |
-102974540362806 = -1 · 2 · 3 · 75 · 193 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 5 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-535920,150784839] |
[a1,a2,a3,a4,a6] |
j |
-17022512318201387585281/102974540362806 |
j-invariant |
L |
4.7828250749466 |
L(r)(E,1)/r! |
Ω |
0.53142500833031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126882o1 |
Quadratic twists by: -3 |