Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010z |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
27525120 |
Modular degree for the optimal curve |
Δ |
-6.6589345133258E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-583227549,5435664937605] |
[a1,a2,a3,a4,a6] |
j |
-30096103647001622212284923089/91343408961945600000000 |
j-invariant |
L |
0.99394534277754 |
L(r)(E,1)/r! |
Ω |
0.06212158385464 |
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 |
17670u1 |
Quadratic twists by: -3 |