Atkin-Lehner |
3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bt |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-672489685546875 = -1 · 310 · 59 · 73 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 0 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-53625,-4939844] |
[a1,a2,a3,a4,a6] |
j |
-11977551872/472311 |
j-invariant |
L |
0.62601525782677 |
L(r)(E,1)/r! |
Ω |
0.15650381445679 |
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 |
8925k1 26775bu1 |
Quadratic twists by: -3 5 |