Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270o |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
648751680 = 26 · 39 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-218,217] |
[a1,a2,a3,a4,a6] |
j |
57960603/32960 |
j-invariant |
L |
4.1723578765206 |
L(r)(E,1)/r! |
Ω |
1.3907859588402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74160y1 9270c1 46350f1 |
Quadratic twists by: -4 -3 5 |