Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360ca |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
25130238560506880 = 210 · 5 · 172 · 198 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -4 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175688,27298552] |
[a1,a2,a3,a4,a6] |
Generators |
[2642:18411:8] [202:228:1] |
Generators of the group modulo torsion |
j |
585666053776152576/24541248594245 |
j-invariant |
L |
8.1180460294313 |
L(r)(E,1)/r! |
Ω |
0.37388711140974 |
Real period |
R |
2.7140698964769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360l1 25840l1 |
Quadratic twists by: -4 8 |