Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630m |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-61628950978560 = -1 · 213 · 32 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2523,-373491] |
[a1,a2,a3,a4,a6] |
Generators |
[69:333:1] |
Generators of the group modulo torsion |
j |
307908839/10690560 |
j-invariant |
L |
3.0194124603989 |
L(r)(E,1)/r! |
Ω |
0.29986986296148 |
Real period |
R |
1.6781793445229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890ej1 42630bm1 |
Quadratic twists by: -3 -7 |