Atkin-Lehner |
2+ 3+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110d |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
706799208960000 = 212 · 39 · 54 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22290,73556] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1141:1] |
Generators of the group modulo torsion |
j |
62226243584883/35909120000 |
j-invariant |
L |
4.3778835701791 |
L(r)(E,1)/r! |
Ω |
0.43227607325078 |
Real period |
R |
2.5318794201898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110bq1 |
Quadratic twists by: -3 |