Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bq |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-2655499140000000 = -1 · 28 · 38 · 57 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-245036,46834236] |
[a1,a2,a3,a4,a6] |
Generators |
[113:4536:1] |
Generators of the group modulo torsion |
j |
-6355872876382400464/10373043515625 |
j-invariant |
L |
6.2286008019332 |
L(r)(E,1)/r! |
Ω |
0.45509123399064 |
Real period |
R |
2.2810813705352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780k1 |
Quadratic twists by: -4 |