Atkin-Lehner |
7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
26117d |
Isogeny class |
Conductor |
26117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1053915154019 = -1 · 711 · 13 · 41 |
Discriminant |
Eigenvalues |
0 3 -1 7- 0 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-352408,-80522423] |
[a1,a2,a3,a4,a6] |
j |
-41140801499037696/8958131 |
j-invariant |
L |
3.5270418631088 |
L(r)(E,1)/r! |
Ω |
0.097973385086358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731b1 |
Quadratic twists by: -7 |