Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ft |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
5130000000000 = 210 · 33 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5833,-130463] |
[a1,a2,a3,a4,a6] |
Generators |
[-97968:433789:2197] |
Generators of the group modulo torsion |
j |
2195200/513 |
j-invariant |
L |
5.1882840162095 |
L(r)(E,1)/r! |
Ω |
0.55550255899774 |
Real period |
R |
9.3398021829085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200cp1 22800cs1 91200ja1 |
Quadratic twists by: -4 8 5 |