Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200bz |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-89653248000000000 = -1 · 228 · 32 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252833,51093537] |
[a1,a2,a3,a4,a6] |
Generators |
[143:4224:1] |
Generators of the group modulo torsion |
j |
-3491055413/175104 |
j-invariant |
L |
6.337395287611 |
L(r)(E,1)/r! |
Ω |
0.33572044794297 |
Real period |
R |
4.7192502974224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200io1 2850m1 91200em1 |
Quadratic twists by: -4 8 5 |