Atkin-Lehner |
2- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72100a |
Isogeny class |
Conductor |
72100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
360500000000 = 28 · 59 · 7 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,23863] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:150:1] [-27:250:1] |
Generators of the group modulo torsion |
j |
268435456/90125 |
j-invariant |
L |
7.3799773650597 |
L(r)(E,1)/r! |
Ω |
0.88044898131938 |
Real period |
R |
0.69850511138187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14420c1 |
Quadratic twists by: 5 |