Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210bu |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55240704 |
Modular degree for the optimal curve |
Δ |
8.1474744828025E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-233760429,-79905977307] |
[a1,a2,a3,a4,a6] |
j |
14910549714397/8599633920 |
j-invariant |
L |
0.75771923692484 |
L(r)(E,1)/r! |
Ω |
0.042095472761765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41070bg1 123210dc1 |
Quadratic twists by: -3 37 |