Atkin-Lehner |
3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005h |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14448 |
Modular degree for the optimal curve |
Δ |
-44472645 = -1 · 37 · 5 · 72 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,73,246] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:164:27] |
Generators of the group modulo torsion |
j |
859344311/907605 |
j-invariant |
L |
5.9969962593898 |
L(r)(E,1)/r! |
Ω |
1.3399440829741 |
Real period |
R |
4.4755571037304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61005n1 |
Quadratic twists by: -7 |