Atkin-Lehner |
2+ 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150a |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2007500000000 = 28 · 510 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3450,36500] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:326:1] |
Generators of the group modulo torsion |
j |
465240625/205568 |
j-invariant |
L |
6.6448034412087 |
L(r)(E,1)/r! |
Ω |
0.74531974584713 |
Real period |
R |
4.4576864347366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150bg1 |
Quadratic twists by: 5 |