Atkin-Lehner |
7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49147d |
Isogeny class |
Conductor |
49147 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-6983001217619 = -1 · 76 · 172 · 593 |
Discriminant |
Eigenvalues |
-1 -3 -1 7- 0 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3102,107580] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-519:1] |
Generators of the group modulo torsion |
j |
28066748319/59354531 |
j-invariant |
L |
1.2304298813634 |
L(r)(E,1)/r! |
Ω |
0.51745851594244 |
Real period |
R |
0.39630548261323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003c1 |
Quadratic twists by: -7 |