Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150g |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-25757050781250 = -1 · 2 · 39 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 3 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7383,791] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3773:8] |
Generators of the group modulo torsion |
j |
231525/134 |
j-invariant |
L |
3.4925594222466 |
L(r)(E,1)/r! |
Ω |
0.40060505613407 |
Real period |
R |
4.359105518975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30150bt1 30150bz1 |
Quadratic twists by: -3 5 |