Atkin-Lehner |
2- 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426bn |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
37182621672 = 23 · 37 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7961,275217] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-204:1] [-290:5883:8] |
Generators of the group modulo torsion |
j |
76532854417993/51004968 |
j-invariant |
L |
12.856711533057 |
L(r)(E,1)/r! |
Ω |
1.1439941358543 |
Real period |
R |
0.93653681795925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142g2 |
Quadratic twists by: -3 |