Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
61206b |
Isogeny class |
Conductor |
61206 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
17627328 = 26 · 33 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -4 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-66569,6583173] |
[a1,a2,a3,a4,a6] |
Generators |
[154:39:1] |
Generators of the group modulo torsion |
j |
3198212065177153/1728 |
j-invariant |
L |
4.9355925346534 |
L(r)(E,1)/r! |
Ω |
1.336188569463 |
Real period |
R |
1.8468922152802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61206m1 |
Quadratic twists by: 101 |