Atkin-Lehner |
2- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650ci |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-44408896000 = -1 · 29 · 53 · 74 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -5 -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1373,21937] |
[a1,a2,a3,a4,a6] |
Generators |
[12:79:1] [-38:159:1] |
Generators of the group modulo torsion |
j |
-953790341/147968 |
j-invariant |
L |
9.2871497693832 |
L(r)(E,1)/r! |
Ω |
1.098638115704 |
Real period |
R |
0.078271567557242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41650v1 41650cm1 |
Quadratic twists by: 5 -7 |