Atkin-Lehner |
2+ 3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40290s |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-2719575000 = -1 · 23 · 34 · 55 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -5 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8603,306398] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-20:1] |
Generators of the group modulo torsion |
j |
-70404579879105961/2719575000 |
j-invariant |
L |
5.8905608934004 |
L(r)(E,1)/r! |
Ω |
1.3467237449142 |
Real period |
R |
0.21869967451184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870w1 |
Quadratic twists by: -3 |