Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944q |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
341635574016 = 28 · 38 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5439,-151810] |
[a1,a2,a3,a4,a6] |
Generators |
[346489:3749760:2197] |
Generators of the group modulo torsion |
j |
95348396752/1830609 |
j-invariant |
L |
9.0030719264791 |
L(r)(E,1)/r! |
Ω |
0.55657829856241 |
Real period |
R |
8.0878754611261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32472v2 21648f2 |
Quadratic twists by: -4 -3 |