Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608cb |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-277909733376 = -1 · 217 · 33 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11+ -4 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1366145,615056673] |
[a1,a2,a3,a4,a6] |
Generators |
[343:13664:1] |
Generators of the group modulo torsion |
j |
-2151317423848597058/2120283 |
j-invariant |
L |
6.7113264703419 |
L(r)(E,1)/r! |
Ω |
0.61442761400817 |
Real period |
R |
5.4614459728311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608bm1 31152j1 |
Quadratic twists by: -4 8 |