Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575ci |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
26976796875 = 35 · 57 · 72 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5713,165542] |
[a1,a2,a3,a4,a6] |
Generators |
[47:14:1] [-37:590:1] |
Generators of the group modulo torsion |
j |
26934258841/35235 |
j-invariant |
L |
8.7322637852713 |
L(r)(E,1)/r! |
Ω |
1.183981931227 |
Real period |
R |
0.36876676725387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315d1 106575b1 |
Quadratic twists by: 5 -7 |