Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360o |
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 |
[244:480:1] |
Generators of the group modulo torsion |
j |
3629614769120241/39276800 |
j-invariant |
L |
7.3936664805713 |
L(r)(E,1)/r! |
Ω |
0.65504481938258 |
Real period |
R |
2.8218170133245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360bw1 3230g1 |
Quadratic twists by: -4 8 |