Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
102306k |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
11379078761997312 = 210 · 33 · 178 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2768771,1773046910] |
[a1,a2,a3,a4,a6] |
Generators |
[-1089:59680:1] |
Generators of the group modulo torsion |
j |
97250327148039625/471426048 |
j-invariant |
L |
5.6011397322408 |
L(r)(E,1)/r! |
Ω |
0.35661420720404 |
Real period |
R |
5.2354800526374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018b1 |
Quadratic twists by: 17 |