Atkin-Lehner |
2+ 3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
30906f |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
149650091937792 = 212 · 36 · 173 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20313,-941139] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:324:1] |
Generators of the group modulo torsion |
j |
1271541138628753/205281333248 |
j-invariant |
L |
2.9027244335032 |
L(r)(E,1)/r! |
Ω |
0.4042713077888 |
Real period |
R |
3.5900698090349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3434b1 |
Quadratic twists by: -3 |