Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150bn |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
10819200000000000 = 216 · 3 · 511 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5505063,4969250781] |
[a1,a2,a3,a4,a6] |
j |
1180838681727016392361/692428800000 |
j-invariant |
L |
2.6676073699575 |
L(r)(E,1)/r! |
Ω |
0.3334509212447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72450bh1 4830q1 |
Quadratic twists by: -3 5 |