Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960cc |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1.5527388930638E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1476867,-716355326] |
[a1,a2,a3,a4,a6] |
Generators |
[4275159:-474926080:343] |
Generators of the group modulo torsion |
j |
-119305480789133569/5200091136000 |
j-invariant |
L |
6.9603841992025 |
L(r)(E,1)/r! |
Ω |
0.068301234036821 |
Real period |
R |
8.4922626183812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870i1 123840ew1 10320bd1 |
Quadratic twists by: -4 8 -3 |