Atkin-Lehner |
2+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
730b |
Isogeny class |
Conductor |
730 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
420 |
Modular degree for the optimal curve |
Δ |
-248970880 = -1 · 27 · 5 · 733 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,96,-658] |
[a1,a2,a3,a4,a6] |
j |
99317171591/248970880 |
j-invariant |
L |
0.30165756147469 |
L(r)(E,1)/r! |
Ω |
0.90497268442407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5840e1 23360k1 6570bd1 3650j1 |
Quadratic twists by: -4 8 -3 5 |