Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286z |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-300452436808925184 = -1 · 215 · 319 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 -5 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,104382,22930452] |
[a1,a2,a3,a4,a6] |
Generators |
[247:7860:1] |
Generators of the group modulo torsion |
j |
503009937352889/1201583849472 |
j-invariant |
L |
4.6117407030604 |
L(r)(E,1)/r! |
Ω |
0.21400904532986 |
Real period |
R |
5.3873198396267 |
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 |
6762bn1 20286bb1 |
Quadratic twists by: -3 -7 |