Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290en |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
12773376 |
Modular degree for the optimal curve |
Δ |
-4.5351719617607E+23 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 7 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47037845,128308803195] |
[a1,a2,a3,a4,a6] |
Generators |
[1623:236348:1] |
Generators of the group modulo torsion |
j |
-456390127585249/17983078400 |
j-invariant |
L |
9.5550836705337 |
L(r)(E,1)/r! |
Ω |
0.09309763219813 |
Real period |
R |
0.40728209512549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470y1 59290bz1 |
Quadratic twists by: -7 -11 |