Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630bm |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-523837440 = -1 · 213 · 32 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,51,1096] |
[a1,a2,a3,a4,a6] |
j |
307908839/10690560 |
j-invariant |
L |
2.4886819185897 |
L(r)(E,1)/r! |
Ω |
1.2443409592455 |
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 |
127890fx1 42630m1 |
Quadratic twists by: -3 -7 |