Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368f |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
-17805312 = -1 · 212 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2280,-41904] |
[a1,a2,a3,a4,a6] |
Generators |
[232:3452:1] |
Generators of the group modulo torsion |
j |
-11852352000/161 |
j-invariant |
L |
6.2447709901795 |
L(r)(E,1)/r! |
Ω |
0.34545023567349 |
Real period |
R |
4.5192985452802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368bb1 92736r1 46368bg1 |
Quadratic twists by: -4 8 -3 |