Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104p |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
131254992 = 24 · 37 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-246,1379] |
[a1,a2,a3,a4,a6] |
Generators |
[11:2:1] |
Generators of the group modulo torsion |
j |
141150208/11253 |
j-invariant |
L |
4.2937893352329 |
L(r)(E,1)/r! |
Ω |
1.8076690718067 |
Real period |
R |
2.3753182494516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24552s1 16368f1 |
Quadratic twists by: -4 -3 |