Atkin-Lehner |
3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37275a |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.1783181616002E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13193250,-18648748125] |
[a1,a2,a3,a4,a6] |
Generators |
[669586061451005746569013565824522798:-21110392737502323784139996133631370457:143822254573469351032715228950088] |
Generators of the group modulo torsion |
j |
-16253957263944747301921/203412362342414715 |
j-invariant |
L |
3.9307050006699 |
L(r)(E,1)/r! |
Ω |
0.039578383965681 |
Real period |
R |
49.657219507466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111825p5 7455g6 |
Quadratic twists by: -3 5 |