Atkin-Lehner |
3- 5- 29- 89- |
Signs for the Atkin-Lehner involutions |
Class |
38715g |
Isogeny class |
Conductor |
38715 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-127163313196875 = -1 · 311 · 55 · 29 · 892 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 3 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5170,-562826] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-2003:1] |
Generators of the group modulo torsion |
j |
-15285489163595776/127163313196875 |
j-invariant |
L |
3.5689489358602 |
L(r)(E,1)/r! |
Ω |
0.24749444867341 |
Real period |
R |
0.13109381038611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116145f1 |
Quadratic twists by: -3 |