Atkin-Lehner |
2- 7- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
113582d |
Isogeny class |
Conductor |
113582 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3775904588221262 = -1 · 2 · 76 · 19 · 615 |
Discriminant |
Eigenvalues |
2- 1 4 7- -3 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4018736,3100527758] |
[a1,a2,a3,a4,a6] |
Generators |
[55287896495564778:-30685628531500409:47808432500184] |
Generators of the group modulo torsion |
j |
-61010405398305333361/32094659438 |
j-invariant |
L |
16.903025963325 |
L(r)(E,1)/r! |
Ω |
0.36258749609943 |
Real period |
R |
23.308892536506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2318e2 |
Quadratic twists by: -7 |