Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384ba |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-10560445632 = -1 · 26 · 37 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -7 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1794,-29662] |
[a1,a2,a3,a4,a6] |
Generators |
[49:9:1] |
Generators of the group modulo torsion |
j |
-13686220288/226347 |
j-invariant |
L |
7.0334059499979 |
L(r)(E,1)/r! |
Ω |
0.36642697831182 |
Real period |
R |
3.1990939291279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384bl1 60192w1 40128n1 |
Quadratic twists by: -4 8 -3 |