Atkin-Lehner |
2+ 3+ 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294d |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-42308443570176 = -1 · 222 · 33 · 7 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36106,2644180] |
[a1,a2,a3,a4,a6] |
Generators |
[141:547:1] |
Generators of the group modulo torsion |
j |
-5205718018358473897/42308443570176 |
j-invariant |
L |
3.019886400969 |
L(r)(E,1)/r! |
Ω |
0.64606092506017 |
Real period |
R |
4.6743059111564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882bj1 |
Quadratic twists by: -3 |