Atkin-Lehner |
2- 3+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bv |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
1497960 = 23 · 33 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197,1109] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:48:1] [54:29:8] |
Generators of the group modulo torsion |
j |
31166657523/55480 |
j-invariant |
L |
17.914694883849 |
L(r)(E,1)/r! |
Ω |
2.6861376566837 |
Real period |
R |
1.1115522964201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830e1 |
Quadratic twists by: -3 |