Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350ew |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
5682700800 = 29 · 37 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-590,-4003] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:43:1] |
Generators of the group modulo torsion |
j |
1244290945/311808 |
j-invariant |
L |
11.92951802755 |
L(r)(E,1)/r! |
Ω |
0.98664121362656 |
Real period |
R |
0.33586221228131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450bd1 91350cm1 |
Quadratic twists by: -3 5 |