Atkin-Lehner |
2- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53650h |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-534216656000000 = -1 · 210 · 56 · 293 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 5 3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-373463,87821417] |
[a1,a2,a3,a4,a6] |
Generators |
[38:8565:1] |
Generators of the group modulo torsion |
j |
-368677389247668649/34189865984 |
j-invariant |
L |
12.025982777923 |
L(r)(E,1)/r! |
Ω |
0.49773482908504 |
Real period |
R |
0.40269041784057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2146b1 |
Quadratic twists by: 5 |