Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512v |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
47412148379904 = 28 · 310 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191271,32195770] |
[a1,a2,a3,a4,a6] |
Generators |
[62:4536:1] |
Generators of the group modulo torsion |
j |
4146709424945488/254051721 |
j-invariant |
L |
6.0222530218126 |
L(r)(E,1)/r! |
Ω |
0.6034291296634 |
Real period |
R |
2.4950125813904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999001406 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42504y2 |
Quadratic twists by: -3 |