Atkin-Lehner |
2- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408bg |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-41762692096 = -1 · 210 · 313 · 372 |
Discriminant |
Eigenvalues |
2- 2 1 -3 -4 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-505,10929] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:93:1] |
Generators of the group modulo torsion |
j |
-13936624384/40783879 |
j-invariant |
L |
9.0088046287013 |
L(r)(E,1)/r! |
Ω |
1.0072109049715 |
Real period |
R |
1.4907180119715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408e1 18352o1 |
Quadratic twists by: -4 8 |