Atkin-Lehner |
2- 3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104880dl |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
900 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-259573620211200000 = -1 · 212 · 35 · 55 · 193 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-194160,40986900] |
[a1,a2,a3,a4,a6] |
Generators |
[-510:2760:1] [2250:104880:1] |
Generators of the group modulo torsion |
j |
-197626550799590641/63372465871875 |
j-invariant |
L |
12.737645207705 |
L(r)(E,1)/r! |
Ω |
0.29368370787991 |
Real period |
R |
0.048191093815834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6555h1 |
Quadratic twists by: -4 |