Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232c |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
142098648596545536 = 216 · 38 · 76 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202657,30136225] |
[a1,a2,a3,a4,a6] |
Generators |
[2150736:235447205:50653] |
Generators of the group modulo torsion |
j |
14045291353374628/2168253305001 |
j-invariant |
L |
6.4915815682947 |
L(r)(E,1)/r! |
Ω |
0.31291654692572 |
Real period |
R |
10.372704212136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993956 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71232df2 8904i2 |
Quadratic twists by: -4 8 |