Atkin-Lehner |
2+ 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150l |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
90450000000 = 27 · 33 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3867,-90459] |
[a1,a2,a3,a4,a6] |
j |
606436875/8576 |
j-invariant |
L |
1.2118603726415 |
L(r)(E,1)/r! |
Ω |
0.60593018632303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30150by1 30150bx1 |
Quadratic twists by: -3 5 |