Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630cb |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1251264 |
Modular degree for the optimal curve |
Δ |
-8949789377639955810 = -1 · 2 · 32 · 5 · 78 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 7 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,381709,111862883] |
[a1,a2,a3,a4,a6] |
Generators |
[34356:1372963:64] |
Generators of the group modulo torsion |
j |
1066931459038991/1552488867810 |
j-invariant |
L |
7.5681057887635 |
L(r)(E,1)/r! |
Ω |
0.1568118293667 |
Real period |
R |
3.4473099835336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890ce1 42630dl1 |
Quadratic twists by: -3 -7 |