Atkin-Lehner |
5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
775c |
Isogeny class |
Conductor |
775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-1513671875 = -1 · 511 · 31 |
Discriminant |
Eigenvalues |
2 1 5+ 2 2 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,242,1269] |
[a1,a2,a3,a4,a6] |
j |
99897344/96875 |
j-invariant |
L |
3.9650155558008 |
L(r)(E,1)/r! |
Ω |
0.9912538889502 |
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 |
12400n1 49600w1 6975m1 155a1 |
Quadratic twists by: -4 8 -3 5 |