Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282bj |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
981730137574116 = 22 · 310 · 79 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28127,-1014315] |
[a1,a2,a3,a4,a6] |
j |
20917350641377/8344568484 |
j-invariant |
L |
7.6314153097798 |
L(r)(E,1)/r! |
Ω |
0.38157076548895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90846bl1 4326e1 |
Quadratic twists by: -3 -7 |