Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800g |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1548000000000 = -1 · 211 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 4 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-497208,135110412] |
[a1,a2,a3,a4,a6] |
j |
-3398434606474/387 |
j-invariant |
L |
2.6206137249996 |
L(r)(E,1)/r! |
Ω |
0.65515343124995 |
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 |
51600bk1 77400bv1 25800bk1 |
Quadratic twists by: -4 -3 5 |