Atkin-Lehner |
2- 3- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236x |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
1048410041475757968 = 24 · 313 · 73 · 173 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10029225,12224909401] |
[a1,a2,a3,a4,a6] |
Generators |
[-3055:119799:1] [-1576:155295:1] |
Generators of the group modulo torsion |
j |
9564853551216268000000/89884262815137 |
j-invariant |
L |
12.01302784405 |
L(r)(E,1)/r! |
Ω |
0.2495580515889 |
Real period |
R |
1.3371446662631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008546 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41412j2 |
Quadratic twists by: -3 |