Atkin-Lehner |
3+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18105a |
Isogeny class |
Conductor |
18105 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-3246169921875 = -1 · 34 · 59 · 172 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,819,-86488] |
[a1,a2,a3,a4,a6] |
Generators |
[90:841:1] |
Generators of the group modulo torsion |
j |
60679925006336/3246169921875 |
j-invariant |
L |
3.4640332547851 |
L(r)(E,1)/r! |
Ω |
0.38077270633085 |
Real period |
R |
2.2743445086734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54315k1 90525m1 |
Quadratic twists by: -3 5 |