Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846bl |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
715681270291530564 = 22 · 316 · 79 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-253143,27386505] |
[a1,a2,a3,a4,a6] |
Generators |
[72:3051:1] |
Generators of the group modulo torsion |
j |
20917350641377/8344568484 |
j-invariant |
L |
2.7825046765785 |
L(r)(E,1)/r! |
Ω |
0.25941404251274 |
Real period |
R |
1.3407642869599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30282bj1 12978g1 |
Quadratic twists by: -3 -7 |