Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920l |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1857600 = 26 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-177,904] |
[a1,a2,a3,a4,a6] |
Generators |
[3:20:1] |
Generators of the group modulo torsion |
j |
354894912/1075 |
j-invariant |
L |
5.5024046074094 |
L(r)(E,1)/r! |
Ω |
2.6471592280231 |
Real period |
R |
1.0393036711275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920f1 123840ds2 61920bk1 |
Quadratic twists by: -4 8 -3 |