Atkin-Lehner |
3- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
69531i |
Isogeny class |
Conductor |
69531 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-762248953851 = -1 · 3 · 74 · 113 · 433 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,523,41927] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-452:1] |
Generators of the group modulo torsion |
j |
6576668672/317471451 |
j-invariant |
L |
3.6788710421558 |
L(r)(E,1)/r! |
Ω |
0.68187552434255 |
Real period |
R |
0.59946930857194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69531e2 |
Quadratic twists by: -7 |