Atkin-Lehner |
2+ 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970j |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-324782113486795200 = -1 · 26 · 34 · 52 · 176 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63838,-28118512] |
[a1,a2,a3,a4,a6] |
Generators |
[469:6485:1] |
Generators of the group modulo torsion |
j |
-28770787537262112601/324782113486795200 |
j-invariant |
L |
4.0138478322631 |
L(r)(E,1)/r! |
Ω |
0.12978633530368 |
Real period |
R |
3.8658228376577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910bd3 119850ca3 |
Quadratic twists by: -3 5 |