Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
574f |
Isogeny class |
Conductor |
574 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
15438304 = 25 · 7 · 413 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80,190] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:19:1] |
Generators of the group modulo torsion |
j |
55611739513/15438304 |
j-invariant |
L |
1.6140546542034 |
L(r)(E,1)/r! |
Ω |
2.0605345766171 |
Real period |
R |
2.3499552094679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4592i1 18368o1 5166bf1 14350o1 |
Quadratic twists by: -4 8 -3 5 |