Atkin-Lehner |
2+ 3+ 5- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550o |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
39504844800000000 = 217 · 33 · 58 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-149825,20107125] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1470:1] |
Generators of the group modulo torsion |
j |
952184408192185/101132402688 |
j-invariant |
L |
3.5085707822639 |
L(r)(E,1)/r! |
Ω |
0.35250970052185 |
Real period |
R |
1.6588530775471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999225002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550bv1 |
Quadratic twists by: 5 |