Atkin-Lehner |
3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431n |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
-71004843 = -1 · 35 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
-2 3- -4 7+ -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,100,-100] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] [4:19:1] |
Generators of the group modulo torsion |
j |
49836032/32319 |
j-invariant |
L |
4.7324089723181 |
L(r)(E,1)/r! |
Ω |
1.112720596332 |
Real period |
R |
0.42530074377096 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67431u1 |
Quadratic twists by: 13 |