Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070bb |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
85 |
Product of Tamagawa factors cp |
deg |
856800 |
Modular degree for the optimal curve |
Δ |
100268554687500000 = 25 · 3 · 517 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 2 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-245505,44170527] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:9486:1] |
Generators of the group modulo torsion |
j |
1195367376229058809/73242187500000 |
j-invariant |
L |
6.3224424301742 |
L(r)(E,1)/r! |
Ω |
0.33076271268102 |
Real period |
R |
0.2248792647943 |
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 |
123210bk1 41070g1 |
Quadratic twists by: -3 37 |