Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150cg |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
1201720961250000000 = 27 · 315 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-323555,-47209053] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:3138:1] |
Generators of the group modulo torsion |
j |
526185927025/168801408 |
j-invariant |
L |
9.2344325672804 |
L(r)(E,1)/r! |
Ω |
0.20526145534676 |
Real period |
R |
1.6067369422087 |
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 |
10050a1 30150bj1 |
Quadratic twists by: -3 5 |