Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454bh |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-9287441710848 = -1 · 28 · 38 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6624,255744] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-708:1] [-474:5529:8] |
Generators of the group modulo torsion |
j |
-374805361/108288 |
j-invariant |
L |
5.4680295221377 |
L(r)(E,1)/r! |
Ω |
0.691514994103 |
Real period |
R |
0.98841485158808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818be1 846a1 |
Quadratic twists by: -3 -7 |