Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360t |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
5031936 |
Modular degree for the optimal curve |
Δ |
-1.7527552301777E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2209020,6242345775] |
[a1,a2,a3,a4,a6] |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
2.3730566260792 |
L(r)(E,1)/r! |
Ω |
0.091271408121577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680z1 4080m1 |
Quadratic twists by: -4 17 |