Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696be |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-46356756627456 = -1 · 216 · 312 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4884,300080] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:376:1] [-11:495:1] |
Generators of the group modulo torsion |
j |
202612/729 |
j-invariant |
L |
8.7150701058547 |
L(r)(E,1)/r! |
Ω |
0.45297085773245 |
Real period |
R |
4.8099507711767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696ff2 8712e2 23232d2 69696bd2 |
Quadratic twists by: -4 8 -3 -11 |