Atkin-Lehner |
3- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195s |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2696115283875 = -1 · 37 · 53 · 133 · 672 |
Discriminant |
Eigenvalues |
2 3- 5- 3 -3 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1563,-75335] |
[a1,a2,a3,a4,a6] |
Generators |
[2212:9013:64] |
Generators of the group modulo torsion |
j |
579259437056/3698374875 |
j-invariant |
L |
13.266064957674 |
L(r)(E,1)/r! |
Ω |
0.40378215099882 |
Real period |
R |
2.737875882837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065d1 |
Quadratic twists by: -3 |