Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120472g |
Isogeny class |
Conductor |
120472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-3855104 = -1 · 28 · 11 · 372 |
Discriminant |
Eigenvalues |
2- -1 2 0 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,100] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] [0:10:1] |
Generators of the group modulo torsion |
j |
-592/11 |
j-invariant |
L |
10.932027628024 |
L(r)(E,1)/r! |
Ω |
2.090144285213 |
Real period |
R |
1.3075685376351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120472b1 |
Quadratic twists by: 37 |