Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240cb |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-157478592480480000 = -1 · 28 · 36 · 54 · 675 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58872,19868636] |
[a1,a2,a3,a4,a6] |
Generators |
[982:30150:1] |
Generators of the group modulo torsion |
j |
-120915670441984/843828191875 |
j-invariant |
L |
5.978324623129 |
L(r)(E,1)/r! |
Ω |
0.27859792815353 |
Real period |
R |
0.26823264008003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12060a1 5360l1 |
Quadratic twists by: -4 -3 |