Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576by |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-5924122694516736 = -1 · 220 · 38 · 17 · 373 |
Discriminant |
Eigenvalues |
2- 3- 1 5 -3 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32613,2928202] |
[a1,a2,a3,a4,a6] |
Generators |
[287:5994:1] |
Generators of the group modulo torsion |
j |
1284720006311/1983976704 |
j-invariant |
L |
9.0979679758993 |
L(r)(E,1)/r! |
Ω |
0.28971516794284 |
Real period |
R |
1.3084644517296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322x1 30192bb1 |
Quadratic twists by: -4 -3 |