Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114b |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
8271665892 = 22 · 34 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-515,-1287] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:65:1] [-8:53:1] |
Generators of the group modulo torsion |
j |
128787625/70308 |
j-invariant |
L |
3.8558941840377 |
L(r)(E,1)/r! |
Ω |
1.0697373169172 |
Real period |
R |
0.90113108214974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912cv1 27342ba1 1302e1 |
Quadratic twists by: -4 -3 -7 |