Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46728g |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3165565556736 = -1 · 211 · 39 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- 4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3073827,2074279358] |
[a1,a2,a3,a4,a6] |
Generators |
[8114:891:8] |
Generators of the group modulo torsion |
j |
-2151317423848597058/2120283 |
j-invariant |
L |
6.4156969405198 |
L(r)(E,1)/r! |
Ω |
0.50167804606525 |
Real period |
R |
2.1314124303598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93456j1 15576e1 |
Quadratic twists by: -4 -3 |