Atkin-Lehner |
2+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150h |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
80300 = 22 · 52 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- -3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51,-142] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
570420625/3212 |
j-invariant |
L |
3.1092787386313 |
L(r)(E,1)/r! |
Ω |
1.7913447822974 |
Real period |
R |
0.86786161138855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150bk1 |
Quadratic twists by: 5 |