Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200gd |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-1796567040000000 = -1 · 218 · 35 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30367,91137] |
[a1,a2,a3,a4,a6] |
Generators |
[61:1472:1] |
Generators of the group modulo torsion |
j |
756058031/438615 |
j-invariant |
L |
3.6881904543373 |
L(r)(E,1)/r! |
Ω |
0.28269637931977 |
Real period |
R |
3.2616180520025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200cx1 22800cz1 18240cv1 |
Quadratic twists by: -4 8 5 |