Atkin-Lehner |
3- 5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485bd |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
117559890073828125 = 36 · 58 · 76 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128237,6379224] |
[a1,a2,a3,a4,a6] |
Generators |
[-378:1046:1] [602:-12429:1] |
Generators of the group modulo torsion |
j |
319913861015774089/161261851953125 |
j-invariant |
L |
7.984203476946 |
L(r)(E,1)/r! |
Ω |
0.29356409311204 |
Real period |
R |
0.56661416142879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165b2 |
Quadratic twists by: -3 |