Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306s |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-42987630878656512 = -1 · 211 · 3 · 179 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 2 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6352,9974016] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:1824:1] |
Generators of the group modulo torsion |
j |
1174241375/1780942848 |
j-invariant |
L |
11.928188164179 |
L(r)(E,1)/r! |
Ω |
0.28267893631518 |
Real period |
R |
1.9180430581177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018i1 |
Quadratic twists by: 17 |