Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294t |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-81286593970176 = -1 · 216 · 33 · 74 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6581,384761] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:526:1] |
Generators of the group modulo torsion |
j |
31520656919569103/81286593970176 |
j-invariant |
L |
7.0571614640992 |
L(r)(E,1)/r! |
Ω |
0.42595112147062 |
Real period |
R |
2.0710009635999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126882u1 |
Quadratic twists by: -3 |