Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775r |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-1255078125 = -1 · 33 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,258,541] |
[a1,a2,a3,a4,a6] |
j |
179685/119 |
j-invariant |
L |
1.9218759656115 |
L(r)(E,1)/r! |
Ω |
0.96093798280572 |
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 |
26775q1 26775a1 |
Quadratic twists by: -3 5 |