Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21900c |
Isogeny class |
Conductor |
21900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-14782500000000 = -1 · 28 · 34 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -5 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62708,-6026088] |
[a1,a2,a3,a4,a6] |
Generators |
[105623:665946:343] |
Generators of the group modulo torsion |
j |
-10908360400/5913 |
j-invariant |
L |
2.6872099585131 |
L(r)(E,1)/r! |
Ω |
0.1508426399186 |
Real period |
R |
8.9073287233741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600cq1 65700l1 21900j1 |
Quadratic twists by: -4 -3 5 |