Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330d |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1480283837212078080 = -1 · 212 · 39 · 5 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2305410,1349166356] |
[a1,a2,a3,a4,a6] |
j |
-243723071907/266240 |
j-invariant |
L |
1.0707056564913 |
L(r)(E,1)/r! |
Ω |
0.26767641397197 |
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 |
57330di1 57330i2 |
Quadratic twists by: -3 -7 |