Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150c |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
45225000000 = 26 · 33 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2817,57341] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-212:1] |
Generators of the group modulo torsion |
j |
5861208627/107200 |
j-invariant |
L |
3.7051394581428 |
L(r)(E,1)/r! |
Ω |
1.1376041901746 |
Real period |
R |
0.81424178333376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30150bp1 6030r1 |
Quadratic twists by: -3 5 |