Atkin-Lehner |
3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925r |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-13800540234375 = -1 · 32 · 58 · 174 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3099,-165677] |
[a1,a2,a3,a4,a6] |
Generators |
[3881190887:-61344927729:17373979] |
Generators of the group modulo torsion |
j |
210751100351/883234575 |
j-invariant |
L |
9.4948635457916 |
L(r)(E,1)/r! |
Ω |
0.35710247726815 |
Real period |
R |
13.294312067416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11985b1 |
Quadratic twists by: 5 |