Atkin-Lehner |
5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110515f |
Isogeny class |
Conductor |
110515 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
103320 |
Modular degree for the optimal curve |
Δ |
-2655122875 = -1 · 53 · 23 · 314 |
Discriminant |
Eigenvalues |
-2 -2 5- 3 2 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-320,-3426] |
[a1,a2,a3,a4,a6] |
Generators |
[41:232:1] |
Generators of the group modulo torsion |
j |
-3936256/2875 |
j-invariant |
L |
2.9577395260783 |
L(r)(E,1)/r! |
Ω |
0.54677355981317 |
Real period |
R |
0.60104903938423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110515e1 |
Quadratic twists by: -31 |