Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1230c |
Isogeny class |
Conductor |
1230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-2519040 = -1 · 212 · 3 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9,76] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] |
Generators of the group modulo torsion |
j |
-68417929/2519040 |
j-invariant |
L |
2.1791698741205 |
L(r)(E,1)/r! |
Ω |
2.1408376026925 |
Real period |
R |
2.0358105363805 |
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 |
9840n1 39360r1 3690t1 6150y1 |
Quadratic twists by: -4 8 -3 5 |