Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312ba |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
1726272 = 26 · 36 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 -3 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-522,4590] |
[a1,a2,a3,a4,a6] |
Generators |
[13:1:1] |
Generators of the group modulo torsion |
j |
337153536/37 |
j-invariant |
L |
2.9212261218296 |
L(r)(E,1)/r! |
Ω |
2.5474419587413 |
Real period |
R |
1.1467292166582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312bb1 10656f1 2368i1 |
Quadratic twists by: -4 8 -3 |