Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bp |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1749440781361152 = 213 · 316 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70995,-6997358] |
[a1,a2,a3,a4,a6] |
Generators |
[-3939:13634:27] |
Generators of the group modulo torsion |
j |
13253162604625/585884178 |
j-invariant |
L |
7.641274995375 |
L(r)(E,1)/r! |
Ω |
0.29327713874475 |
Real period |
R |
6.5136981249492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8118b2 21648y2 |
Quadratic twists by: -4 -3 |