Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762h |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12342832016256 = -1 · 27 · 312 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2334,164340] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:403:1] |
Generators of the group modulo torsion |
j |
4096768048001/35984932992 |
j-invariant |
L |
2.0110571357747 |
L(r)(E,1)/r! |
Ω |
0.5214603505605 |
Real period |
R |
1.9282934298006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096cu2 20286cc2 6762s2 |
Quadratic twists by: -4 -3 -7 |