Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800px |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-29393280000 = -1 · 210 · 38 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11100,-450200] |
[a1,a2,a3,a4,a6] |
Generators |
[27212722697:549001741401:62570773] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
7.9420464517004 |
L(r)(E,1)/r! |
Ω |
0.23255932111308 |
Real period |
R |
17.07531311514 |
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 |
100800he1 25200cn1 33600ho1 100800ml1 |
Quadratic twists by: -4 8 -3 5 |