Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120x |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
67757812500000000 = 28 · 3 · 515 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 3 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261401,49806099] |
[a1,a2,a3,a4,a6] |
Generators |
[-20387430:2465861811:300763] |
Generators of the group modulo torsion |
j |
7716265141781146624/264678955078125 |
j-invariant |
L |
9.4799738194031 |
L(r)(E,1)/r! |
Ω |
0.34531030634643 |
Real period |
R |
13.726746146116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49560r1 |
Quadratic twists by: -4 |