Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550dd |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
140400 |
Modular degree for the optimal curve |
Δ |
-379152659375000 = -1 · 23 · 58 · 72 · 195 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35055,-2685553] |
[a1,a2,a3,a4,a6] |
Generators |
[1053:33046:1] |
Generators of the group modulo torsion |
j |
-248889111345/19808792 |
j-invariant |
L |
7.9778769502695 |
L(r)(E,1)/r! |
Ω |
0.17366262125408 |
Real period |
R |
3.0625960814692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550r1 46550co1 |
Quadratic twists by: 5 -7 |