Atkin-Lehner |
13+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
73853g |
Isogeny class |
Conductor |
73853 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
784896 |
Modular degree for the optimal curve |
Δ |
-1385615701574299 = -1 · 1310 · 19 · 232 |
Discriminant |
Eigenvalues |
-2 -2 -1 3 3 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-292426,-60989548] |
[a1,a2,a3,a4,a6] |
Generators |
[7193:608315:1] |
Generators of the group modulo torsion |
j |
-572945133039616/287066611 |
j-invariant |
L |
1.9670332728393 |
L(r)(E,1)/r! |
Ω |
0.10264844804631 |
Real period |
R |
4.7907038742384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5681b1 |
Quadratic twists by: 13 |