Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410d |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
19275300 = 22 · 33 · 52 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114,448] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:29:1] |
Generators of the group modulo torsion |
j |
6098396283/713900 |
j-invariant |
L |
4.6807221660042 |
L(r)(E,1)/r! |
Ω |
2.0982130022284 |
Real period |
R |
0.55770340773604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410s1 |
Quadratic twists by: -3 |