Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498r |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
396544880429865216 = 28 · 32 · 72 · 378 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1891302,1000511460] |
[a1,a2,a3,a4,a6] |
Generators |
[-1336:34478:1] |
Generators of the group modulo torsion |
j |
291605712526297/154554624 |
j-invariant |
L |
13.460211576916 |
L(r)(E,1)/r! |
Ω |
0.29608080894281 |
Real period |
R |
5.6826595858292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1554c2 |
Quadratic twists by: 37 |