Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hy |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-171000000 = -1 · 26 · 32 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 1 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-1587] |
[a1,a2,a3,a4,a6] |
Generators |
[412:8367:1] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
6.6656881707827 |
L(r)(E,1)/r! |
Ω |
0.60662905346968 |
Real period |
R |
5.4940396711056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200bm1 22800ci1 3648x1 |
Quadratic twists by: -4 8 5 |