Atkin-Lehner |
2+ 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630z |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-1581362943352164000 = -1 · 25 · 39 · 53 · 77 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-497522,-148211244] |
[a1,a2,a3,a4,a6] |
j |
-115764048064464409/13441363236000 |
j-invariant |
L |
1.6073629094332 |
L(r)(E,1)/r! |
Ω |
0.089297939412549 |
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 |
127890ev1 6090k1 |
Quadratic twists by: -3 -7 |