Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630df |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-870163560 = -1 · 23 · 37 · 5 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,125,-1303] |
[a1,a2,a3,a4,a6] |
Generators |
[32:173:1] |
Generators of the group modulo torsion |
j |
629422793/2536920 |
j-invariant |
L |
12.281402983089 |
L(r)(E,1)/r! |
Ω |
0.80057168388426 |
Real period |
R |
0.36525693154828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890bv1 42630cg1 |
Quadratic twists by: -3 -7 |