Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575n |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
27987594140625 = 3 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13500,-553125] |
[a1,a2,a3,a4,a6] |
Generators |
[-650:1325:8] |
Generators of the group modulo torsion |
j |
148035889/15225 |
j-invariant |
L |
6.0834713155327 |
L(r)(E,1)/r! |
Ω |
0.44584683412184 |
Real period |
R |
3.4111890191713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026922 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315w1 15225n1 |
Quadratic twists by: 5 -7 |