Atkin-Lehner |
5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31175a |
Isogeny class |
Conductor |
31175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12600 |
Modular degree for the optimal curve |
Δ |
-1671634675 = -1 · 52 · 292 · 433 |
Discriminant |
Eigenvalues |
0 2 5+ 4 0 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,297,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[732:4438:27] |
Generators of the group modulo torsion |
j |
115502120960/66865387 |
j-invariant |
L |
7.4086077959463 |
L(r)(E,1)/r! |
Ω |
0.89569603399255 |
Real period |
R |
4.1356707603819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31175c1 |
Quadratic twists by: 5 |