Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150n |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5653125000 = -1 · 23 · 33 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 5 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5742,-166084] |
[a1,a2,a3,a4,a6] |
Generators |
[319:5353:1] |
Generators of the group modulo torsion |
j |
-1985326875/536 |
j-invariant |
L |
5.2613427714428 |
L(r)(E,1)/r! |
Ω |
0.27421624707571 |
Real period |
R |
3.1978063709152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30150ca1 30150bu1 |
Quadratic twists by: -3 5 |