Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14706j |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-293214807934992 = -1 · 24 · 38 · 19 · 435 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 0 6 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16308,-194400] |
[a1,a2,a3,a4,a6] |
Generators |
[12:48:1] |
Generators of the group modulo torsion |
j |
657935488109375/402215100048 |
j-invariant |
L |
3.8915247455696 |
L(r)(E,1)/r! |
Ω |
0.31681272334548 |
Real period |
R |
3.0708400095772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117648bi1 4902m1 |
Quadratic twists by: -4 -3 |