Atkin-Lehner |
5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57575d |
Isogeny class |
Conductor |
57575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-8456328125 = -1 · 57 · 72 · 472 |
Discriminant |
Eigenvalues |
1 1 5+ 7- -4 4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,-4427] |
[a1,a2,a3,a4,a6] |
j |
-2401/11045 |
j-invariant |
L |
2.3743619068351 |
L(r)(E,1)/r! |
Ω |
0.59359047684737 |
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 |
11515e1 57575c1 |
Quadratic twists by: 5 -7 |