Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20300j |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-582926854580000000 = -1 · 28 · 57 · 72 · 296 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 -6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170575,45657750] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:8526:1] [-46:7308:1] |
Generators of the group modulo torsion |
j |
-137217613147344/145731713645 |
j-invariant |
L |
7.2028883105705 |
L(r)(E,1)/r! |
Ω |
0.26398453347971 |
Real period |
R |
1.5158481310387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200bf2 4060b2 |
Quadratic twists by: -4 5 |