Atkin-Lehner |
2- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3010i |
Isogeny class |
Conductor |
3010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608 |
Modular degree for the optimal curve |
Δ |
-1294300 = -1 · 22 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25,-75] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/1294300 |
j-invariant |
L |
2.0674181188025 |
L(r)(E,1)/r! |
Ω |
1.0337090594012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24080o1 96320l1 27090p1 15050b1 |
Quadratic twists by: -4 8 -3 5 |