Atkin-Lehner |
3+ 5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485b |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
60245334277734375 = 39 · 58 · 7 · 113 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1331453,591554206] |
[a1,a2,a3,a4,a6] |
Generators |
[463:8381:1] |
Generators of the group modulo torsion |
j |
13262018685985648683/3060780078125 |
j-invariant |
L |
2.546565480978 |
L(r)(E,1)/r! |
Ω |
0.34183169871939 |
Real period |
R |
1.2416273301631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485e2 |
Quadratic twists by: -3 |