Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350r |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-4858574282800 = -1 · 24 · 52 · 710 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -1 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3455,-133195] |
[a1,a2,a3,a4,a6] |
Generators |
[7846:691093:1] |
Generators of the group modulo torsion |
j |
-1551443665/1651888 |
j-invariant |
L |
7.5682728746523 |
L(r)(E,1)/r! |
Ω |
0.29873901840066 |
Real period |
R |
6.3335155377746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350di1 15050h1 |
Quadratic twists by: 5 -7 |