Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200cg |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-87552000 = -1 · 212 · 32 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87,297] |
[a1,a2,a3,a4,a6] |
Generators |
[3:24:1] |
Generators of the group modulo torsion |
j |
140608/171 |
j-invariant |
L |
6.6947333927123 |
L(r)(E,1)/r! |
Ω |
1.2805803447557 |
Real period |
R |
1.3069725414591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ei1 45600t1 91200ew1 |
Quadratic twists by: -4 8 5 |