Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366n |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-36055202758542 = -1 · 2 · 39 · 117 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8145,56403] |
[a1,a2,a3,a4,a6] |
Generators |
[399:7968:1] |
Generators of the group modulo torsion |
j |
46268279/27918 |
j-invariant |
L |
7.5560434717352 |
L(r)(E,1)/r! |
Ω |
0.39968008221178 |
Real period |
R |
1.1815768095664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34122z1 9306p1 |
Quadratic twists by: -3 -11 |