Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475cf |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7488000 |
Modular degree for the optimal curve |
Δ |
1926439453125 = 37 · 59 · 11 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 11+ 6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43222125,109372285156] |
[a1,a2,a3,a4,a6] |
Generators |
[3796:31:1] |
Generators of the group modulo torsion |
j |
6271688643866537984/1353 |
j-invariant |
L |
3.686439061153 |
L(r)(E,1)/r! |
Ω |
0.33804099533941 |
Real period |
R |
1.363162730385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999230735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825o1 101475cd1 |
Quadratic twists by: -3 5 |