Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075ba |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-53251171875 = -1 · 36 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,11281] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:112:1] |
Generators of the group modulo torsion |
j |
-262144/4675 |
j-invariant |
L |
3.3674044001673 |
L(r)(E,1)/r! |
Ω |
0.94511499686524 |
Real period |
R |
0.89073933101662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675k1 8415m1 |
Quadratic twists by: -3 5 |