Atkin-Lehner |
3- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105963r |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-4241642689661949 = -1 · 35 · 114 · 137 · 19 |
Discriminant |
Eigenvalues |
1 3- 3 -1 11+ 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25692,-3513677] |
[a1,a2,a3,a4,a6] |
Generators |
[209:402:1] |
Generators of the group modulo torsion |
j |
-388537587073/878767461 |
j-invariant |
L |
11.924596365561 |
L(r)(E,1)/r! |
Ω |
0.17632787041242 |
Real period |
R |
1.6906851351862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151g1 |
Quadratic twists by: 13 |