Atkin-Lehner |
2+ 3+ 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294f |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1537725252 = 22 · 3 · 74 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2886,-60864] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:19:1] |
Generators of the group modulo torsion |
j |
2659792770038377/1537725252 |
j-invariant |
L |
2.258697911141 |
L(r)(E,1)/r! |
Ω |
0.65135979899704 |
Real period |
R |
0.86691637809826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882bs1 |
Quadratic twists by: -3 |