Atkin-Lehner |
2- 3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780a |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
19431172373760 = 28 · 37 · 5 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7901,170265] |
[a1,a2,a3,a4,a6] |
j |
213100710682624/75903017085 |
j-invariant |
L |
1.2576667935816 |
L(r)(E,1)/r! |
Ω |
0.62883339679079 |
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 |
99120ct1 74340w1 123900z1 |
Quadratic twists by: -4 -3 5 |