Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bb |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
415108025640000 = 26 · 36 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154390,23277488] |
[a1,a2,a3,a4,a6] |
Generators |
[281:-1470:1] |
Generators of the group modulo torsion |
j |
6359222970735949504/6486062900625 |
j-invariant |
L |
7.8239726847492 |
L(r)(E,1)/r! |
Ω |
0.52882626079807 |
Real period |
R |
0.41097160010239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960j1 73920ep2 110880de1 |
Quadratic twists by: -4 8 -3 |