Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70180c |
Isogeny class |
Conductor |
70180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
20550107600 = 24 · 52 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-968,9317] |
[a1,a2,a3,a4,a6] |
Generators |
[338:1675:8] |
Generators of the group modulo torsion |
j |
3538944/725 |
j-invariant |
L |
5.1061874193738 |
L(r)(E,1)/r! |
Ω |
1.1491084268228 |
Real period |
R |
4.4436080184373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
580a1 |
Quadratic twists by: -11 |