Atkin-Lehner |
2- 3- 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238cs |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1066773376654128 = 24 · 39 · 114 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31649,1500225] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:1374:1] |
Generators of the group modulo torsion |
j |
4809094334573257/1463337965232 |
j-invariant |
L |
13.723915012122 |
L(r)(E,1)/r! |
Ω |
0.45528579134172 |
Real period |
R |
0.94198490781695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746e2 |
Quadratic twists by: -3 |