Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1520b |
Isogeny class |
Conductor |
1520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-190000 = -1 · 24 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[23:110:1] |
Generators of the group modulo torsion |
j |
-55296/11875 |
j-invariant |
L |
2.8512640496318 |
L(r)(E,1)/r! |
Ω |
1.4230367500453 |
Real period |
R |
2.0036475161594 |
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 |
760e1 6080k1 13680n1 7600c1 |
Quadratic twists by: -4 8 -3 5 |