Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506r |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-8021049344 = -1 · 215 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,266,4083] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:47:1] |
Generators of the group modulo torsion |
j |
7200600767/27754496 |
j-invariant |
L |
9.5638574555988 |
L(r)(E,1)/r! |
Ω |
0.93490093554938 |
Real period |
R |
0.34099361375934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506v1 |
Quadratic twists by: 17 |