Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
95200s |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
94720 |
Modular degree for the optimal curve |
Δ |
-146288128000 = -1 · 212 · 53 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,947,-14277] |
[a1,a2,a3,a4,a6] |
Generators |
[13:20:1] [29:-196:1] |
Generators of the group modulo torsion |
j |
183250432/285719 |
j-invariant |
L |
8.7265493562952 |
L(r)(E,1)/r! |
Ω |
0.54443565165738 |
Real period |
R |
0.80143074119738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200o1 95200be1 |
Quadratic twists by: -4 5 |