Atkin-Lehner |
3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075g |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-83103778828125 = -1 · 39 · 57 · 11 · 173 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -3 11+ 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35480,2618272] |
[a1,a2,a3,a4,a6] |
Generators |
[529:11210:1] [-46:2060:1] |
Generators of the group modulo torsion |
j |
-16060229667/270215 |
j-invariant |
L |
5.6575940267815 |
L(r)(E,1)/r! |
Ω |
0.6086700434731 |
Real period |
R |
0.38729207552935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42075i1 8415f1 |
Quadratic twists by: -3 5 |