Atkin-Lehner |
3- 5- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735p |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-25701897375 = -1 · 38 · 53 · 7 · 112 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,377,-7147] |
[a1,a2,a3,a4,a6] |
Generators |
[302:1825:8] |
Generators of the group modulo torsion |
j |
5948434379159/25701897375 |
j-invariant |
L |
10.263571708208 |
L(r)(E,1)/r! |
Ω |
0.60233431984765 |
Real period |
R |
1.4199716240094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205t1 |
Quadratic twists by: -3 |