Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360bw |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
10296177459200 = 226 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204908,-35701168] |
[a1,a2,a3,a4,a6] |
Generators |
[796:17480:1] |
Generators of the group modulo torsion |
j |
3629614769120241/39276800 |
j-invariant |
L |
3.5844001550919 |
L(r)(E,1)/r! |
Ω |
0.22439341499501 |
Real period |
R |
3.9934328588183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360o1 25840bd1 |
Quadratic twists by: -4 8 |