Atkin-Lehner |
2+ 3+ 7+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506d |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
803828592 = 24 · 32 · 7 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-541,4429] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:55:1] [-1:71:1] |
Generators of the group modulo torsion |
j |
17561807821657/803828592 |
j-invariant |
L |
4.8439497925862 |
L(r)(E,1)/r! |
Ω |
1.5727610095318 |
Real period |
R |
0.76997550219468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518bd2 |
Quadratic twists by: -3 |