Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040ba |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-20234240 = -1 · 214 · 5 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5- -1 2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
2122416/1235 |
j-invariant |
L |
3.7284051728724 |
L(r)(E,1)/r! |
Ω |
1.3034197311564 |
Real period |
R |
1.4302396558341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040bt1 9880d1 |
Quadratic twists by: -4 8 |