Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630g |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
639836704190250000 = 24 · 37 · 56 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-396043,-88038803] |
[a1,a2,a3,a4,a6] |
j |
170243323971967/15855750000 |
j-invariant |
L |
1.5315739892104 |
L(r)(E,1)/r! |
Ω |
0.19144674864171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890gl1 42630bu1 |
Quadratic twists by: -3 -7 |