Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62814r |
Isogeny class |
Conductor |
62814 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
1439766477702955008 = 224 · 33 · 194 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1003768,382664768] |
[a1,a2,a3,a4,a6] |
Generators |
[-464:27592:1] |
Generators of the group modulo torsion |
j |
858241230084384625/11047847067648 |
j-invariant |
L |
13.379879837669 |
L(r)(E,1)/r! |
Ω |
0.27029060539853 |
Real period |
R |
2.0625762867347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62814e1 |
Quadratic twists by: -19 |