Atkin-Lehner |
3- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61065k |
Isogeny class |
Conductor |
61065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
341292285 = 37 · 5 · 232 · 59 |
Discriminant |
Eigenvalues |
2 3- 5- -2 1 -5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-417,-3155] |
[a1,a2,a3,a4,a6] |
j |
11000295424/468165 |
j-invariant |
L |
4.23707036167 |
L(r)(E,1)/r! |
Ω |
1.0592675912623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20355b1 |
Quadratic twists by: -3 |