Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280x |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-6251431680 = -1 · 28 · 32 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60,-3780] |
[a1,a2,a3,a4,a6] |
Generators |
[63:504:1] |
Generators of the group modulo torsion |
j |
91765424/24419655 |
j-invariant |
L |
9.4463808779925 |
L(r)(E,1)/r! |
Ω |
0.63013708582266 |
Real period |
R |
3.7477483434448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640p1 |
Quadratic twists by: -4 |