Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100i |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
3206250000 = 24 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16125,788125] |
[a1,a2,a3,a4,a6] |
j |
2747761920/19 |
j-invariant |
L |
2.5339186111535 |
L(r)(E,1)/r! |
Ω |
1.2669593055768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68400ds1 17100j2 17100c1 |
Quadratic twists by: -4 -3 5 |