Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100j |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
1157456250000 = 24 · 33 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2625,625] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:209:1] [-25:225:1] |
Generators of the group modulo torsion |
j |
11854080/6859 |
j-invariant |
L |
6.725451711908 |
L(r)(E,1)/r! |
Ω |
0.73381305082703 |
Real period |
R |
1.5275125147856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68400dr1 17100i2 17100d1 |
Quadratic twists by: -4 -3 5 |