Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624p |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
650706632091648 = 211 · 316 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167362816899,-26353395449053022] |
[a1,a2,a3,a4,a6] |
j |
347250725847084265534751416342274/435840669 |
j-invariant |
L |
4.2993942794181 |
L(r)(E,1)/r! |
Ω |
0.0074642265165442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48312h6 32208e6 |
Quadratic twists by: -4 -3 |