Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120s |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-16769286144000000 = -1 · 222 · 39 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63960,-255888] |
[a1,a2,a3,a4,a6] |
j |
7064514799444439/4094064000000 |
j-invariant |
L |
1.3919585332646 |
L(r)(E,1)/r! |
Ω |
0.23199308887743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390d1 12480cm1 9360bo1 15600cd1 |
Quadratic twists by: -4 8 -3 5 |