Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715bm |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-6217367625 = -1 · 39 · 53 · 7 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,103,3746] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-71:1] |
Generators of the group modulo torsion |
j |
463391/23625 |
j-invariant |
L |
3.1785396803478 |
L(r)(E,1)/r! |
Ω |
1.0188460194404 |
Real period |
R |
0.25997874033266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37905p1 113715bf1 |
Quadratic twists by: -3 -19 |