Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575o |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
269280 |
Modular degree for the optimal curve |
Δ |
-133043424426675 = -1 · 317 · 52 · 72 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10860,-339345] |
[a1,a2,a3,a4,a6] |
Generators |
[5426:397093:1] |
Generators of the group modulo torsion |
j |
115615114298495/108606877083 |
j-invariant |
L |
5.4999358819303 |
L(r)(E,1)/r! |
Ω |
0.31946212621673 |
Real period |
R |
8.6081188373455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575cz1 106575bt1 |
Quadratic twists by: 5 -7 |