Atkin-Lehner |
2- 3+ 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294r |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-96690174336 = -1 · 27 · 37 · 73 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18172,-950563] |
[a1,a2,a3,a4,a6] |
j |
-663641276865158593/96690174336 |
j-invariant |
L |
1.4391729788199 |
L(r)(E,1)/r! |
Ω |
0.20559613984899 |
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 |
126882r1 |
Quadratic twists by: -3 |