Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360c |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-4526037039841280 = -1 · 225 · 5 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 5 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25919,-2818879] |
[a1,a2,a3,a4,a6] |
Generators |
[118019:546560:1331] |
Generators of the group modulo torsion |
j |
7345506701519/17265461120 |
j-invariant |
L |
6.2204072120495 |
L(r)(E,1)/r! |
Ω |
0.22536716871732 |
Real period |
R |
6.9003032815286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999303163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360br1 3230f1 |
Quadratic twists by: -4 8 |