Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120cz |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4988872949760 = 228 · 32 · 5 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7560,226548] |
[a1,a2,a3,a4,a6] |
Generators |
[5412:28557:64] |
Generators of the group modulo torsion |
j |
11667736047241/1217986560 |
j-invariant |
L |
10.022827077325 |
L(r)(E,1)/r! |
Ω |
0.74521302621439 |
Real period |
R |
6.724806688546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390e1 |
Quadratic twists by: -4 |