Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024bb |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-1467223254843844608 = -1 · 211 · 34 · 1111 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,190656,48742560] |
[a1,a2,a3,a4,a6] |
j |
211245177166/404399061 |
j-invariant |
L |
1.4828220530048 |
L(r)(E,1)/r! |
Ω |
0.18535276659218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8184f1 |
Quadratic twists by: -11 |