Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bp |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-15060937500000000 = -1 · 28 · 34 · 514 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59492,1935488] |
[a1,a2,a3,a4,a6] |
Generators |
[32:1968:1] |
Generators of the group modulo torsion |
j |
5821462825904/3765234375 |
j-invariant |
L |
8.0741213371229 |
L(r)(E,1)/r! |
Ω |
0.24592426031636 |
Real period |
R |
4.1039674806836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bh1 |
Quadratic twists by: 5 |