Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136x |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6188768631585792 = 210 · 34 · 79 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13528720,19148330564] |
[a1,a2,a3,a4,a6] |
Generators |
[3152:-88494:1] [2048:5970:1] |
Generators of the group modulo torsion |
j |
6626917327327132/149769 |
j-invariant |
L |
10.64051065598 |
L(r)(E,1)/r! |
Ω |
0.30711650340955 |
Real period |
R |
4.3308119792448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50568n2 101136j2 |
Quadratic twists by: -4 -7 |