Atkin-Lehner |
2- 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430bq |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
6101146800 = 24 · 36 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-632,-4661] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:41:1] |
Generators of the group modulo torsion |
j |
38238692409/8369200 |
j-invariant |
L |
10.21477516847 |
L(r)(E,1)/r! |
Ω |
0.96713724936109 |
Real period |
R |
0.44007779898942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4270a1 |
Quadratic twists by: -3 |