Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630ct |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
154789295477705280 = 26 · 310 · 5 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-323646,-68320764] |
[a1,a2,a3,a4,a6] |
j |
31867374745699921/1315687302720 |
j-invariant |
L |
6.0201642713687 |
L(r)(E,1)/r! |
Ω |
0.20067214238234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890cu1 6090u1 |
Quadratic twists by: -3 -7 |