Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968bb |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-50528448 = -1 · 26 · 37 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 -2 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,-380] |
[a1,a2,a3,a4,a6] |
Generators |
[11:18:1] |
Generators of the group modulo torsion |
j |
-1216/3 |
j-invariant |
L |
4.3736619401463 |
L(r)(E,1)/r! |
Ω |
0.80964353506496 |
Real period |
R |
1.3504899845478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968cm1 34656bh1 103968bq1 |
Quadratic twists by: -4 -3 -19 |