Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550bu |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-2851187500 = -1 · 22 · 56 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1863,30281] |
[a1,a2,a3,a4,a6] |
Generators |
[78:875:8] |
Generators of the group modulo torsion |
j |
-19061833/76 |
j-invariant |
L |
13.679017655313 |
L(r)(E,1)/r! |
Ω |
1.4378786298522 |
Real period |
R |
4.7566663038555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1862a1 46550cd1 |
Quadratic twists by: 5 -7 |