Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530be |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-4488122875995000 = -1 · 23 · 315 · 54 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2677622,-1685777731] |
[a1,a2,a3,a4,a6] |
Generators |
[2067:39061:1] |
Generators of the group modulo torsion |
j |
-2912351799169324199449/6156547155000 |
j-invariant |
L |
7.8475759135667 |
L(r)(E,1)/r! |
Ω |
0.059010894754544 |
Real period |
R |
2.770525096181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510g1 |
Quadratic twists by: -3 |