Atkin-Lehner |
2- 3+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
84624i |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-209792476790784 = -1 · 214 · 311 · 412 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 3 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14664,131184] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:369:8] |
Generators of the group modulo torsion |
j |
85131738691271/51218866404 |
j-invariant |
L |
5.9789177075221 |
L(r)(E,1)/r! |
Ω |
0.34479245618929 |
Real period |
R |
4.3351569925056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10578e1 |
Quadratic twists by: -4 |