Atkin-Lehner |
2+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248m |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15104 |
Modular degree for the optimal curve |
Δ |
-723968 = -1 · 210 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,40] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [1:7:1] |
Generators of the group modulo torsion |
j |
55296/707 |
j-invariant |
L |
4.4969540417252 |
L(r)(E,1)/r! |
Ω |
2.1096075681526 |
Real period |
R |
1.0658271494694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248w1 5656h1 |
Quadratic twists by: -4 8 |