Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384bm |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-878691483648 = -1 · 219 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11- 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3276,85104] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:352:1] |
Generators of the group modulo torsion |
j |
-20346417/4598 |
j-invariant |
L |
7.2844381866177 |
L(r)(E,1)/r! |
Ω |
0.84783371522189 |
Real period |
R |
1.0739780156239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384db1 3762e1 13376e1 |
Quadratic twists by: -4 8 -3 |