Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1950q |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-41533440000000 = -1 · 220 · 3 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7213,386531] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:652:1] |
Generators of the group modulo torsion |
j |
-2656166199049/2658140160 |
j-invariant |
L |
3.4821169178771 |
L(r)(E,1)/r! |
Ω |
0.58618595904462 |
Real period |
R |
0.59402939701119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15600cl1 62400cp1 5850r1 390g1 |
Quadratic twists by: -4 8 -3 5 |