Atkin-Lehner |
2+ 3+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790m |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1368000 |
Modular degree for the optimal curve |
Δ |
-60348790996992000 = -1 · 225 · 39 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -3 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1678389,837429173] |
[a1,a2,a3,a4,a6] |
j |
-26565037836114522627/3066036224000 |
j-invariant |
L |
2.0233936245279 |
L(r)(E,1)/r! |
Ω |
0.33723226974627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790bj1 |
Quadratic twists by: -3 |