Atkin-Lehner |
2+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46354m |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
10907003492 = 22 · 78 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-711,-5599] |
[a1,a2,a3,a4,a6] |
Generators |
[104:977:1] |
Generators of the group modulo torsion |
j |
338608873/92708 |
j-invariant |
L |
4.6915656273524 |
L(r)(E,1)/r! |
Ω |
0.94340612402323 |
Real period |
R |
2.4865036954227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622g1 |
Quadratic twists by: -7 |