Atkin-Lehner |
2- 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290bd |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
13520223080000 = 26 · 54 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9148,288831] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:657:1] |
Generators of the group modulo torsion |
j |
719564007681/114920000 |
j-invariant |
L |
7.0292475196587 |
L(r)(E,1)/r! |
Ω |
0.67609152744332 |
Real period |
R |
0.86640728239518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210e1 |
Quadratic twists by: -7 |