Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216br |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-3734649856 = -1 · 210 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 2 1 7- -2 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,2969] |
[a1,a2,a3,a4,a6] |
Generators |
[-106400:13383:6859] |
Generators of the group modulo torsion |
j |
-256/31 |
j-invariant |
L |
10.507156720626 |
L(r)(E,1)/r! |
Ω |
1.1475646236325 |
Real period |
R |
9.1560479594084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216ba1 24304d1 1984k1 |
Quadratic twists by: -4 8 -7 |