Atkin-Lehner |
2- 3+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45264i |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
6518016 = 28 · 33 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1269,-16983] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1062:1] |
Generators of the group modulo torsion |
j |
883508641792/25461 |
j-invariant |
L |
6.6683079075365 |
L(r)(E,1)/r! |
Ω |
0.79984601311031 |
Real period |
R |
4.1684948091378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11316b1 |
Quadratic twists by: -4 |