Atkin-Lehner |
2+ 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320f |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
58554868000000 = 28 · 56 · 172 · 373 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 1 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11345,280475] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3145:1] |
Generators of the group modulo torsion |
j |
630863683818496/228729953125 |
j-invariant |
L |
8.1935505105003 |
L(r)(E,1)/r! |
Ω |
0.57282814400329 |
Real period |
R |
0.39732444656153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25160h1 |
Quadratic twists by: -4 |