Atkin-Lehner |
3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
61005n |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
101136 |
Modular degree for the optimal curve |
Δ |
-5232162211605 = -1 · 37 · 5 · 78 · 83 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -1 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3551,-73699] |
[a1,a2,a3,a4,a6] |
Generators |
[19:17:1] |
Generators of the group modulo torsion |
j |
859344311/907605 |
j-invariant |
L |
6.7822135637296 |
L(r)(E,1)/r! |
Ω |
0.4144077946773 |
Real period |
R |
2.3380053763378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61005h1 |
Quadratic twists by: -7 |