Atkin-Lehner |
2+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18656c |
Isogeny class |
Conductor |
18656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-15314038784 = -1 · 212 · 113 · 532 |
Discriminant |
Eigenvalues |
2+ 1 -1 -2 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1501,-23669] |
[a1,a2,a3,a4,a6] |
Generators |
[45:44:1] [78:583:1] |
Generators of the group modulo torsion |
j |
-91368216064/3738779 |
j-invariant |
L |
7.461801423012 |
L(r)(E,1)/r! |
Ω |
0.38256971793268 |
Real period |
R |
1.6253685435723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18656e1 37312i1 |
Quadratic twists by: -4 8 |