Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672b |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
1073854707380224 = 212 · 7 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ 11+ -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2573537,1589929969] |
[a1,a2,a3,a4,a6] |
Generators |
[25059:2116:27] [257:30748:1] |
Generators of the group modulo torsion |
j |
460209079337068260928/262171559419 |
j-invariant |
L |
6.3746320371299 |
L(r)(E,1)/r! |
Ω |
0.40381278415471 |
Real period |
R |
0.56378955503884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56672q1 113344dh1 |
Quadratic twists by: -4 8 |