Atkin-Lehner |
2+ 3- 5- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090h |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-63515072700000 = -1 · 25 · 39 · 55 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -2 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4502,365756] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:-508:1] |
Generators of the group modulo torsion |
j |
10094361370013159/63515072700000 |
j-invariant |
L |
6.1997465579349 |
L(r)(E,1)/r! |
Ω |
0.45032063947329 |
Real period |
R |
0.15297116504914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270bg1 |
Quadratic twists by: -3 |