Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1950a |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-8775000000 = -1 · 26 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150,4500] |
[a1,a2,a3,a4,a6] |
Generators |
[5:60:1] |
Generators of the group modulo torsion |
j |
-24137569/561600 |
j-invariant |
L |
1.837296933928 |
L(r)(E,1)/r! |
Ω |
1.0930859644134 |
Real period |
R |
0.84041740253887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600cc1 62400cx1 5850bn1 390c1 |
Quadratic twists by: -4 8 -3 5 |