Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33579l |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-207855293799346011 = -1 · 314 · 7 · 133 · 414 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 2 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-284259,62321472] |
[a1,a2,a3,a4,a6] |
Generators |
[263:-2399:1] |
Generators of the group modulo torsion |
j |
-3484487055342702592/285123859807059 |
j-invariant |
L |
2.1575990175967 |
L(r)(E,1)/r! |
Ω |
0.3101404086366 |
Real period |
R |
0.28986857746704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11193h1 |
Quadratic twists by: -3 |