Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350w |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
-543090372608000 = -1 · 215 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -4 1 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100721,12345988] |
[a1,a2,a3,a4,a6] |
Generators |
[292:2656:1] |
Generators of the group modulo torsion |
j |
-156813434813/753664 |
j-invariant |
L |
4.8777102404948 |
L(r)(E,1)/r! |
Ω |
0.52230303845805 |
Real period |
R |
4.6694254880286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350bs1 56350z1 |
Quadratic twists by: 5 -7 |