Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800ce |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-224072531712000 = -1 · 211 · 315 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15045,-119050] |
[a1,a2,a3,a4,a6] |
Generators |
[10:180:1] [94:1458:1] |
Generators of the group modulo torsion |
j |
2018054054/1200663 |
j-invariant |
L |
10.572488662987 |
L(r)(E,1)/r! |
Ω |
0.32684473740675 |
Real period |
R |
4.0433910404555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600c1 109800y1 |
Quadratic twists by: -3 5 |