Atkin-Lehner |
2- 3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458bi |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
-9.8436747457214E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6084500,5972262563] |
[a1,a2,a3,a4,a6] |
j |
-34172031908038397829625/1350298319029004268 |
j-invariant |
L |
5.5869696697887 |
L(r)(E,1)/r! |
Ω |
0.15519360154343 |
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 |
24486e1 |
Quadratic twists by: -3 |