Atkin-Lehner |
3- 5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395r |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1207416380625 = 32 · 54 · 74 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7525,245000] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:700:1] |
Generators of the group modulo torsion |
j |
47124508325403601/1207416380625 |
j-invariant |
L |
5.017252121409 |
L(r)(E,1)/r! |
Ω |
0.86225247122522 |
Real period |
R |
0.72734672976346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94185s2 |
Quadratic twists by: -3 |