Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37975k |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
415930842525078125 = 57 · 78 · 314 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1625192,797255591] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:231039:8] |
Generators of the group modulo torsion |
j |
258243633650241/226262645 |
j-invariant |
L |
4.9834066454414 |
L(r)(E,1)/r! |
Ω |
0.29682411593477 |
Real period |
R |
4.1972723726858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7595e4 5425e3 |
Quadratic twists by: 5 -7 |