Atkin-Lehner |
3- 5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485y |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-9313518118541175 = -1 · 36 · 52 · 73 · 116 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114189,15589448] |
[a1,a2,a3,a4,a6] |
Generators |
[92:2374:1] |
Generators of the group modulo torsion |
j |
-225876542934987729/12775745018575 |
j-invariant |
L |
7.7086613698088 |
L(r)(E,1)/r! |
Ω |
0.40461152796763 |
Real period |
R |
1.587667190234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165a1 |
Quadratic twists by: -3 |