Atkin-Lehner |
2+ 3+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110c |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
5309489250 = 2 · 39 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -2 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6495,203075] |
[a1,a2,a3,a4,a6] |
Generators |
[31:160:1] |
Generators of the group modulo torsion |
j |
1539598564323/269750 |
j-invariant |
L |
5.0071599167285 |
L(r)(E,1)/r! |
Ω |
1.3167602006206 |
Real period |
R |
1.9013180603625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97110bp1 |
Quadratic twists by: -3 |