Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920cy |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
13977600 |
Modular degree for the optimal curve |
Δ |
-2.9124070278188E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14790501,-84981540501] |
[a1,a2,a3,a4,a6] |
j |
-349439858058052607328256/2844147488104248046875 |
j-invariant |
L |
3.3881945373879 |
L(r)(E,1)/r! |
Ω |
0.033881945665143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ef1 4620e1 |
Quadratic twists by: -4 8 |