Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150cx |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-6868546875000 = -1 · 23 · 38 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3820,86447] |
[a1,a2,a3,a4,a6] |
Generators |
[219:3265:1] |
Generators of the group modulo torsion |
j |
4330747/4824 |
j-invariant |
L |
9.3989483175374 |
L(r)(E,1)/r! |
Ω |
0.49725790722752 |
Real period |
R |
1.5751296897321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050r1 30150bf1 |
Quadratic twists by: -3 5 |