Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104430d |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-62658000 = -1 · 24 · 32 · 53 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-898,-10748] |
[a1,a2,a3,a4,a6] |
j |
-23046455569/18000 |
j-invariant |
L |
1.7439217863432 |
L(r)(E,1)/r! |
Ω |
0.43598061474161 |
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 |
104430t1 |
Quadratic twists by: -59 |