Atkin-Lehner |
2- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350di |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-75915223168750000 = -1 · 24 · 58 · 710 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -1 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86388,-16476608] |
[a1,a2,a3,a4,a6] |
j |
-1551443665/1651888 |
j-invariant |
L |
3.2064035986553 |
L(r)(E,1)/r! |
Ω |
0.13360015053509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350r1 15050z1 |
Quadratic twists by: 5 -7 |