Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576o |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-1924368988375701504 = -1 · 211 · 39 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -5 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1979224,-1073159408] |
[a1,a2,a3,a4,a6] |
Generators |
[642720:44134028:125] |
Generators of the group modulo torsion |
j |
-1482171386066/3326427 |
j-invariant |
L |
5.4458673899369 |
L(r)(E,1)/r! |
Ω |
0.063633733597104 |
Real period |
R |
10.697681642447 |
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 |
15288q1 122304hq1 91728by1 30576u1 |
Quadratic twists by: -4 8 -3 -7 |