Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950ch |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
19031040000000 = 216 · 32 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11813,-448383] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:247:1] |
Generators of the group modulo torsion |
j |
11667736047241/1217986560 |
j-invariant |
L |
12.625457863766 |
L(r)(E,1)/r! |
Ω |
0.46103030071669 |
Real period |
R |
1.7115818965913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390e1 |
Quadratic twists by: 5 |