Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390t |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1263697085952000 = -1 · 212 · 34 · 53 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23641,-981718] |
[a1,a2,a3,a4,a6] |
Generators |
[60:778:1] |
Generators of the group modulo torsion |
j |
12421081408679/10741248000 |
j-invariant |
L |
4.161989675073 |
L(r)(E,1)/r! |
Ω |
0.26680977740562 |
Real period |
R |
1.949886223967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770i1 |
Quadratic twists by: -7 |