Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302bb |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
-7638462 = -1 · 2 · 36 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90,378] |
[a1,a2,a3,a4,a6] |
Generators |
[19:63:1] |
Generators of the group modulo torsion |
j |
-658489/62 |
j-invariant |
L |
6.8248419008902 |
L(r)(E,1)/r! |
Ω |
2.2898672589133 |
Real period |
R |
2.9804530625576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478k1 94302ce1 |
Quadratic twists by: -3 13 |