Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150h |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-263752200 = -1 · 23 · 39 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -5 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2067,36701] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-26:1] |
Generators of the group modulo torsion |
j |
-1985326875/536 |
j-invariant |
L |
2.1978754872315 |
L(r)(E,1)/r! |
Ω |
1.7043798899634 |
Real period |
R |
0.64477277048795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30150bu1 30150ca1 |
Quadratic twists by: -3 5 |