Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520du |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1603584000 = -1 · 214 · 33 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3552,81504] |
[a1,a2,a3,a4,a6] |
Generators |
[33:15:1] |
Generators of the group modulo torsion |
j |
-11203633152/3625 |
j-invariant |
L |
7.7779113392561 |
L(r)(E,1)/r! |
Ω |
1.47083447767 |
Real period |
R |
0.8813490410499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520m1 20880bh1 83520do1 |
Quadratic twists by: -4 8 -3 |