Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240b |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
129932222666400000 = 28 · 316 · 55 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3938956,3010246900] |
[a1,a2,a3,a4,a6] |
j |
26401417552259125806544/507547744790625 |
j-invariant |
L |
0.90910107317471 |
L(r)(E,1)/r! |
Ω |
0.30303369105823 |
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 |
18480t1 73920ds1 27720bs1 46200cl1 |
Quadratic twists by: -4 8 -3 5 |