Atkin-Lehner |
5+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47275f |
Isogeny class |
Conductor |
47275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74112 |
Modular degree for the optimal curve |
Δ |
-9011796875 = -1 · 57 · 31 · 612 |
Discriminant |
Eigenvalues |
-2 -3 5+ -2 2 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-325,-5094] |
[a1,a2,a3,a4,a6] |
Generators |
[24:30:1] [85:762:1] |
Generators of the group modulo torsion |
j |
-242970624/576755 |
j-invariant |
L |
2.9526813654963 |
L(r)(E,1)/r! |
Ω |
0.52476564284287 |
Real period |
R |
1.4066666738608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9455b1 |
Quadratic twists by: 5 |