Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150cm |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-235155312000000 = -1 · 210 · 34 · 56 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8337,677817] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-1071:1] |
Generators of the group modulo torsion |
j |
4101378352343/15049939968 |
j-invariant |
L |
10.149035878072 |
L(r)(E,1)/r! |
Ω |
0.39595706954944 |
Real period |
R |
0.21359714344832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450bn1 966a1 |
Quadratic twists by: -3 5 |