Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-18496880640 = -1 · 223 · 32 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2305,-42335] |
[a1,a2,a3,a4,a6] |
j |
-105484561/1440 |
j-invariant |
L |
2.753743134232 |
L(r)(E,1)/r! |
Ω |
0.34421789179502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040dg1 11760cf1 47040fr1 |
Quadratic twists by: -4 8 -7 |