Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bl |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
-8327435194531250 = -1 · 2 · 58 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 1 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36367,-5129209] |
[a1,a2,a3,a4,a6] |
Generators |
[7630035930:230104078433:7762392] |
Generators of the group modulo torsion |
j |
-115745625/181202 |
j-invariant |
L |
10.295072096155 |
L(r)(E,1)/r! |
Ω |
0.16385802111604 |
Real period |
R |
15.70730568852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350cz1 15050i1 |
Quadratic twists by: 5 -7 |