Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290ba |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-1.4122700474831E+19 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 11- 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69295,180961325] |
[a1,a2,a3,a4,a6] |
Generators |
[8265:366430:27] |
Generators of the group modulo torsion |
j |
-1459161/560000 |
j-invariant |
L |
7.7936757958021 |
L(r)(E,1)/r! |
Ω |
0.18082405614621 |
Real period |
R |
1.7958699655184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470m1 59290dj1 |
Quadratic twists by: -7 -11 |