Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46644f |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
59328 |
Modular degree for the optimal curve |
Δ |
-34810603776 = -1 · 28 · 32 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 -6 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,12024] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:78:1] [-18:138:1] |
Generators of the group modulo torsion |
j |
-5940688/4761 |
j-invariant |
L |
5.434727953056 |
L(r)(E,1)/r! |
Ω |
1.0657031070617 |
Real period |
R |
0.14165733811072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46644d1 |
Quadratic twists by: 13 |