Atkin-Lehner |
13- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107939k |
Isogeny class |
Conductor |
107939 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1681920 |
Modular degree for the optimal curve |
Δ |
-13505301620179291 = -1 · 134 · 197 · 232 |
Discriminant |
Eigenvalues |
-2 2 1 -3 -3 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-624650,190312324] |
[a1,a2,a3,a4,a6] |
Generators |
[343:4036:1] [469:541:1] |
Generators of the group modulo torsion |
j |
-572945133039616/287066611 |
j-invariant |
L |
8.2527646873429 |
L(r)(E,1)/r! |
Ω |
0.39207917060487 |
Real period |
R |
0.65777250064811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5681b1 |
Quadratic twists by: -19 |