Atkin-Lehner |
3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585d |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
138918528 |
Modular degree for the optimal curve |
Δ |
-7.4953591475802E+28 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 3 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16836625225,-840971078947842] |
[a1,a2,a3,a4,a6] |
j |
-109352504158564666761216262144/15528601085272278046875 |
j-invariant |
L |
1.4843972137242 |
L(r)(E,1)/r! |
Ω |
0.006626773056834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045a1 |
Quadratic twists by: 13 |