Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472be |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-137483970229960704 = -1 · 217 · 316 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,129021,258050] |
[a1,a2,a3,a4,a6] |
Generators |
[175:5310:1] [16127:2048510:1] |
Generators of the group modulo torsion |
j |
79545835321343/46043103456 |
j-invariant |
L |
10.573872196554 |
L(r)(E,1)/r! |
Ω |
0.19602601802868 |
Real period |
R |
13.485291777695 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7434c2 19824o2 |
Quadratic twists by: -4 -3 |