Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780o |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
119903915250000 = 24 · 39 · 56 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48385,4046408] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:2835:1] |
Generators of the group modulo torsion |
j |
782969674228842496/7493994703125 |
j-invariant |
L |
7.442016917059 |
L(r)(E,1)/r! |
Ω |
0.59205010835495 |
Real period |
R |
1.3966567303901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
99120by1 74340p1 123900a1 |
Quadratic twists by: -4 -3 5 |