Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cf |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-31664076727500000 = -1 · 25 · 36 · 57 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,76670,-2523025] |
[a1,a2,a3,a4,a6] |
Generators |
[413:9783:1] |
Generators of the group modulo torsion |
j |
145313387766490553/92315092500000 |
j-invariant |
L |
9.0230767739217 |
L(r)(E,1)/r! |
Ω |
0.21251331905978 |
Real period |
R |
0.10109256315596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390cs1 |
Quadratic twists by: -7 |