Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8280t |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-150147009504000 = -1 · 28 · 36 · 53 · 235 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13212,76788] |
[a1,a2,a3,a4,a6] |
Generators |
[36:774:1] |
Generators of the group modulo torsion |
j |
1366664500224/804542875 |
j-invariant |
L |
4.3936671879436 |
L(r)(E,1)/r! |
Ω |
0.35141787726202 |
Real period |
R |
3.125671367501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16560m1 66240ck1 920a1 41400j1 |
Quadratic twists by: -4 8 -3 5 |