Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150p |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-144720000 = -1 · 27 · 33 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2532567,1551910941] |
[a1,a2,a3,a4,a6] |
Generators |
[-1551:42573:1] |
Generators of the group modulo torsion |
j |
-106454214048830427675/8576 |
j-invariant |
L |
2.9183092847017 |
L(r)(E,1)/r! |
Ω |
0.70583930438097 |
Real period |
R |
6.2017854487314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30150cc2 30150bs1 |
Quadratic twists by: -3 5 |