Atkin-Lehner |
2- 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320cc |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-153342720 = -1 · 28 · 35 · 5 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -4 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,697] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] |
Generators of the group modulo torsion |
j |
-268435456/598995 |
j-invariant |
L |
6.8438357323649 |
L(r)(E,1)/r! |
Ω |
1.6202238591928 |
Real period |
R |
2.1120031449512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999416769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29580d1 |
Quadratic twists by: -4 |